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Finding the Fourth Proportional to 465,438.47, 698,143.75 and 128,499.68

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Solution

The fourth proportional to 465,438.47, 698,143.75 and 128,499.68 is: 192,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,438.47 : 698,143.75 = 128,499.68 : x
  2. Step 2: Convert to fraction form
    465,438.47/698,143.75 = 128,499.68/x
  3. Step 3: Cross multiply
    465,438.47x = 698,143.75 × 128,499.68
  4. Step 4: Simplify right side
    465,438.47x = 89,711,244,978.28
  5. Step 5: Solve for x
    x = 89,711,244,978.28/465,438.47
  6. Step 6: Final answer
    x = 192,745.66

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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.