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Finding the Fourth Proportional to 206,414.20, 309,329.70 and 152,686.90

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Solution

The fourth proportional to 206,414.20, 309,329.70 and 152,686.90 is: 228,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,414.20 : 309,329.70 = 152,686.90 : x
  2. Step 2: Convert to fraction form
    206,414.20/309,329.70 = 152,686.90/x
  3. Step 3: Cross multiply
    206,414.20x = 309,329.70 × 152,686.90
  4. Step 4: Simplify right side
    206,414.20x = 47,230,592,970.93
  5. Step 5: Solve for x
    x = 47,230,592,970.93/206,414.20
  6. Step 6: Final answer
    x = 228,814.65

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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.