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Finding the Fourth Proportional to 502,439.68, 753,770.24 and 278,127.28

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Solution

The fourth proportional to 502,439.68, 753,770.24 and 278,127.28 is: 417,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,439.68 : 753,770.24 = 278,127.28 : x
  2. Step 2: Convert to fraction form
    502,439.68/753,770.24 = 278,127.28/x
  3. Step 3: Cross multiply
    502,439.68x = 753,770.24 × 278,127.28
  4. Step 4: Simplify right side
    502,439.68x = 209,644,066,596.15
  5. Step 5: Solve for x
    x = 209,644,066,596.15/502,439.68
  6. Step 6: Final answer
    x = 417,252.21

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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.