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Finding the Fourth Proportional to 398,886.42, 598,334.85 and 132,646.92

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Solution

The fourth proportional to 398,886.42, 598,334.85 and 132,646.92 is: 198,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,886.42 : 598,334.85 = 132,646.92 : x
  2. Step 2: Convert to fraction form
    398,886.42/598,334.85 = 132,646.92/x
  3. Step 3: Cross multiply
    398,886.42x = 598,334.85 × 132,646.92
  4. Step 4: Simplify right side
    398,886.42x = 79,367,272,737.41
  5. Step 5: Solve for x
    x = 79,367,272,737.41/398,886.42
  6. Step 6: Final answer
    x = 198,972.11

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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.