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Finding the Fourth Proportional to 422,825.49, 634,152.17 and 156,522.71

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Solution

The fourth proportional to 422,825.49, 634,152.17 and 156,522.71 is: 234,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,825.49 : 634,152.17 = 156,522.71 : x
  2. Step 2: Convert to fraction form
    422,825.49/634,152.17 = 156,522.71/x
  3. Step 3: Cross multiply
    422,825.49x = 634,152.17 × 156,522.71
  4. Step 4: Simplify right side
    422,825.49x = 99,259,218,177.47
  5. Step 5: Solve for x
    x = 99,259,218,177.47/422,825.49
  6. Step 6: Final answer
    x = 234,752.21

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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.