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Finding the Fourth Proportional to 359,390.79, 495,930.20 and 206,380.17

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Solution

The fourth proportional to 359,390.79, 495,930.20 and 206,380.17 is: 284,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,390.79 : 495,930.20 = 206,380.17 : x
  2. Step 2: Convert to fraction form
    359,390.79/495,930.20 = 206,380.17/x
  3. Step 3: Cross multiply
    359,390.79x = 495,930.20 × 206,380.17
  4. Step 4: Simplify right side
    359,390.79x = 102,350,157,952.23
  5. Step 5: Solve for x
    x = 102,350,157,952.23/359,390.79
  6. Step 6: Final answer
    x = 284,787.93

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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.