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Finding the Fourth Proportional to 461,862, 692,831.88 and 129,438

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Solution

The fourth proportional to 461,862, 692,831.88 and 129,438 is: 194,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,862 : 692,831.88 = 129,438 : x
  2. Step 2: Convert to fraction form
    461,862/692,831.88 = 129,438/x
  3. Step 3: Cross multiply
    461,862x = 692,831.88 × 129,438
  4. Step 4: Simplify right side
    461,862x = 89,678,772,883.44
  5. Step 5: Solve for x
    x = 89,678,772,883.44/461,862
  6. Step 6: Final answer
    x = 194,167.90

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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.