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Finding the Fourth Proportional to 502,209.68, 693,061.32 and 275,859.92

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Solution

The fourth proportional to 502,209.68, 693,061.32 and 275,859.92 is: 380,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,209.68 : 693,061.32 = 275,859.92 : x
  2. Step 2: Convert to fraction form
    502,209.68/693,061.32 = 275,859.92/x
  3. Step 3: Cross multiply
    502,209.68x = 693,061.32 × 275,859.92
  4. Step 4: Simplify right side
    502,209.68x = 191,187,840,290.29
  5. Step 5: Solve for x
    x = 191,187,840,290.29/502,209.68
  6. Step 6: Final answer
    x = 380,693.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.