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Finding the Fourth Proportional to 465,542.64, 698,186.52 and 128,502.72

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Solution

The fourth proportional to 465,542.64, 698,186.52 and 128,502.72 is: 192,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,542.64 : 698,186.52 = 128,502.72 : x
  2. Step 2: Convert to fraction form
    465,542.64/698,186.52 = 128,502.72/x
  3. Step 3: Cross multiply
    465,542.64x = 698,186.52 × 128,502.72
  4. Step 4: Simplify right side
    465,542.64x = 89,718,866,887.33
  5. Step 5: Solve for x
    x = 89,718,866,887.33/465,542.64
  6. Step 6: Final answer
    x = 192,718.90

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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.