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Finding the Fourth Proportional to 523,999.40, 785,999.10 and 144,919.40

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Solution

The fourth proportional to 523,999.40, 785,999.10 and 144,919.40 is: 217,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,999.40 : 785,999.10 = 144,919.40 : x
  2. Step 2: Convert to fraction form
    523,999.40/785,999.10 = 144,919.40/x
  3. Step 3: Cross multiply
    523,999.40x = 785,999.10 × 144,919.40
  4. Step 4: Simplify right side
    523,999.40x = 113,906,517,972.54
  5. Step 5: Solve for x
    x = 113,906,517,972.54/523,999.40
  6. Step 6: Final answer
    x = 217,379.10

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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.