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Finding the Fourth Proportional to 465,442.32, 698,178.64 and 128,508.24

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Solution

The fourth proportional to 465,442.32, 698,178.64 and 128,508.24 is: 192,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,442.32 : 698,178.64 = 128,508.24 : x
  2. Step 2: Convert to fraction form
    465,442.32/698,178.64 = 128,508.24/x
  3. Step 3: Cross multiply
    465,442.32x = 698,178.64 × 128,508.24
  4. Step 4: Simplify right side
    465,442.32x = 89,721,708,231.99
  5. Step 5: Solve for x
    x = 89,721,708,231.99/465,442.32
  6. Step 6: Final answer
    x = 192,766.55

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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.