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Finding the Fourth Proportional to 422,756.31, 634,217.39 and 156,519.13

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Solution

The fourth proportional to 422,756.31, 634,217.39 and 156,519.13 is: 234,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,756.31 : 634,217.39 = 156,519.13 : x
  2. Step 2: Convert to fraction form
    422,756.31/634,217.39 = 156,519.13/x
  3. Step 3: Cross multiply
    422,756.31x = 634,217.39 × 156,519.13
  4. Step 4: Simplify right side
    422,756.31x = 99,267,155,699.21
  5. Step 5: Solve for x
    x = 99,267,155,699.21/422,756.31
  6. Step 6: Final answer
    x = 234,809.40

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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.