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Finding the Fourth Proportional to 465,538.71, 698,294.21 and 128,599.56

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Solution

The fourth proportional to 465,538.71, 698,294.21 and 128,599.56 is: 192,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,538.71 : 698,294.21 = 128,599.56 : x
  2. Step 2: Convert to fraction form
    465,538.71/698,294.21 = 128,599.56/x
  3. Step 3: Cross multiply
    465,538.71x = 698,294.21 × 128,599.56
  4. Step 4: Simplify right side
    465,538.71x = 89,800,327,513.55
  5. Step 5: Solve for x
    x = 89,800,327,513.55/465,538.71
  6. Step 6: Final answer
    x = 192,895.51

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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.