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Finding the Fourth Proportional to 465,449.48, 698,160.24 and 128,510.70

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Solution

The fourth proportional to 465,449.48, 698,160.24 and 128,510.70 is: 192,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,449.48 : 698,160.24 = 128,510.70 : x
  2. Step 2: Convert to fraction form
    465,449.48/698,160.24 = 128,510.70/x
  3. Step 3: Cross multiply
    465,449.48x = 698,160.24 × 128,510.70
  4. Step 4: Simplify right side
    465,449.48x = 89,721,061,154.57
  5. Step 5: Solve for x
    x = 89,721,061,154.57/465,449.48
  6. Step 6: Final answer
    x = 192,762.19

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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.