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Finding the Fourth Proportional to 502,406.10, 753,609.15 and 407,927.70

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Solution

The fourth proportional to 502,406.10, 753,609.15 and 407,927.70 is: 611,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,406.10 : 753,609.15 = 407,927.70 : x
  2. Step 2: Convert to fraction form
    502,406.10/753,609.15 = 407,927.70/x
  3. Step 3: Cross multiply
    502,406.10x = 753,609.15 × 407,927.70
  4. Step 4: Simplify right side
    502,406.10x = 307,418,047,258.46
  5. Step 5: Solve for x
    x = 307,418,047,258.46/502,406.10
  6. Step 6: Final answer
    x = 611,891.55

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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.