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Finding the Fourth Proportional to 523,415.40, 785,123.10 and 484,924.20

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Solution

The fourth proportional to 523,415.40, 785,123.10 and 484,924.20 is: 727,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,415.40 : 785,123.10 = 484,924.20 : x
  2. Step 2: Convert to fraction form
    523,415.40/785,123.10 = 484,924.20/x
  3. Step 3: Cross multiply
    523,415.40x = 785,123.10 × 484,924.20
  4. Step 4: Simplify right side
    523,415.40x = 380,725,191,169.02
  5. Step 5: Solve for x
    x = 380,725,191,169.02/523,415.40
  6. Step 6: Final answer
    x = 727,386.30

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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.