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Finding the Fourth Proportional to 502,436.68, 753,765.74 and 278,124.29

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Solution

The fourth proportional to 502,436.68, 753,765.74 and 278,124.29 is: 417,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,436.68 : 753,765.74 = 278,124.29 : x
  2. Step 2: Convert to fraction form
    502,436.68/753,765.74 = 278,124.29/x
  3. Step 3: Cross multiply
    502,436.68x = 753,765.74 × 278,124.29
  4. Step 4: Simplify right side
    502,436.68x = 209,640,561,263.83
  5. Step 5: Solve for x
    x = 209,640,561,263.83/502,436.68
  6. Step 6: Final answer
    x = 417,247.72

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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.