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Finding the Fourth Proportional to 502,435.68, 753,764.24 and 278,123.29

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Solution

The fourth proportional to 502,435.68, 753,764.24 and 278,123.29 is: 417,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,435.68 : 753,764.24 = 278,123.29 : x
  2. Step 2: Convert to fraction form
    502,435.68/753,764.24 = 278,123.29/x
  3. Step 3: Cross multiply
    502,435.68x = 753,764.24 × 278,123.29
  4. Step 4: Simplify right side
    502,435.68x = 209,639,390,313.15
  5. Step 5: Solve for x
    x = 209,639,390,313.15/502,435.68
  6. Step 6: Final answer
    x = 417,246.22

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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.