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Finding the Fourth Proportional to 523,936.80, 785,905.20 and 313,466.40

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Solution

The fourth proportional to 523,936.80, 785,905.20 and 313,466.40 is: 470,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,936.80 : 785,905.20 = 313,466.40 : x
  2. Step 2: Convert to fraction form
    523,936.80/785,905.20 = 313,466.40/x
  3. Step 3: Cross multiply
    523,936.80x = 785,905.20 × 313,466.40
  4. Step 4: Simplify right side
    523,936.80x = 246,354,873,785.28
  5. Step 5: Solve for x
    x = 246,354,873,785.28/523,936.80
  6. Step 6: Final answer
    x = 470,199.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.