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Finding the Fourth Proportional to 360,306.72, 497,253.96 and 209,394

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Solution

The fourth proportional to 360,306.72, 497,253.96 and 209,394 is: 288,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,306.72 : 497,253.96 = 209,394 : x
  2. Step 2: Convert to fraction form
    360,306.72/497,253.96 = 209,394/x
  3. Step 3: Cross multiply
    360,306.72x = 497,253.96 × 209,394
  4. Step 4: Simplify right side
    360,306.72x = 104,121,995,700.24
  5. Step 5: Solve for x
    x = 104,121,995,700.24/360,306.72
  6. Step 6: Final answer
    x = 288,981.55

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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.