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Finding the Fourth Proportional to 422,752.74, 634,194.72 and 142,248.12

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Solution

The fourth proportional to 422,752.74, 634,194.72 and 142,248.12 is: 213,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,752.74 : 634,194.72 = 142,248.12 : x
  2. Step 2: Convert to fraction form
    422,752.74/634,194.72 = 142,248.12/x
  3. Step 3: Cross multiply
    422,752.74x = 634,194.72 × 142,248.12
  4. Step 4: Simplify right side
    422,752.74x = 90,213,006,633.93
  5. Step 5: Solve for x
    x = 90,213,006,633.93/422,752.74
  6. Step 6: Final answer
    x = 213,394.26

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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.