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Finding the Fourth Proportional to 428,742.84, 642,906.48 and 129,167.52

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Solution

The fourth proportional to 428,742.84, 642,906.48 and 129,167.52 is: 193,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,742.84 : 642,906.48 = 129,167.52 : x
  2. Step 2: Convert to fraction form
    428,742.84/642,906.48 = 129,167.52/x
  3. Step 3: Cross multiply
    428,742.84x = 642,906.48 × 129,167.52
  4. Step 4: Simplify right side
    428,742.84x = 83,042,635,613.53
  5. Step 5: Solve for x
    x = 83,042,635,613.53/428,742.84
  6. Step 6: Final answer
    x = 193,688.68

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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.