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Finding the Fourth Proportional to 465,431.67, 698,187.59 and 128,472.39

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Solution

The fourth proportional to 465,431.67, 698,187.59 and 128,472.39 is: 192,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,431.67 : 698,187.59 = 128,472.39 : x
  2. Step 2: Convert to fraction form
    465,431.67/698,187.59 = 128,472.39/x
  3. Step 3: Cross multiply
    465,431.67x = 698,187.59 × 128,472.39
  4. Step 4: Simplify right side
    465,431.67x = 89,697,827,713.28
  5. Step 5: Solve for x
    x = 89,697,827,713.28/465,431.67
  6. Step 6: Final answer
    x = 192,719.65

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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.