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Finding the Fourth Proportional to 465,434.39, 698,191.65 and 128,475.11

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Solution

The fourth proportional to 465,434.39, 698,191.65 and 128,475.11 is: 192,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,434.39 : 698,191.65 = 128,475.11 : x
  2. Step 2: Convert to fraction form
    465,434.39/698,191.65 = 128,475.11/x
  3. Step 3: Cross multiply
    465,434.39x = 698,191.65 × 128,475.11
  4. Step 4: Simplify right side
    465,434.39x = 89,700,245,543.87
  5. Step 5: Solve for x
    x = 89,700,245,543.87/465,434.39
  6. Step 6: Final answer
    x = 192,723.72

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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.