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Finding the Fourth Proportional to 287,635.92, 431,424.72 and 77,246.52

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Solution

The fourth proportional to 287,635.92, 431,424.72 and 77,246.52 is: 115,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,635.92 : 431,424.72 = 77,246.52 : x
  2. Step 2: Convert to fraction form
    287,635.92/431,424.72 = 77,246.52/x
  3. Step 3: Cross multiply
    287,635.92x = 431,424.72 × 77,246.52
  4. Step 4: Simplify right side
    287,635.92x = 33,326,058,261.97
  5. Step 5: Solve for x
    x = 33,326,058,261.97/287,635.92
  6. Step 6: Final answer
    x = 115,861.95

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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.