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Finding the Fourth Proportional to 482,470.82, 723,711.42 and 145,514.40

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Solution

The fourth proportional to 482,470.82, 723,711.42 and 145,514.40 is: 218,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,470.82 : 723,711.42 = 145,514.40 : x
  2. Step 2: Convert to fraction form
    482,470.82/723,711.42 = 145,514.40/x
  3. Step 3: Cross multiply
    482,470.82x = 723,711.42 × 145,514.40
  4. Step 4: Simplify right side
    482,470.82x = 105,310,429,799.68
  5. Step 5: Solve for x
    x = 105,310,429,799.68/482,470.82
  6. Step 6: Final answer
    x = 218,273.16

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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.