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Finding the Fourth Proportional to 422,710.52, 634,148.66 and 156,473.32

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Solution

The fourth proportional to 422,710.52, 634,148.66 and 156,473.32 is: 234,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,710.52 : 634,148.66 = 156,473.32 : x
  2. Step 2: Convert to fraction form
    422,710.52/634,148.66 = 156,473.32/x
  3. Step 3: Cross multiply
    422,710.52x = 634,148.66 × 156,473.32
  4. Step 4: Simplify right side
    422,710.52x = 99,227,346,203.75
  5. Step 5: Solve for x
    x = 99,227,346,203.75/422,710.52
  6. Step 6: Final answer
    x = 234,740.66

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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.