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Finding the Fourth Proportional to 398,701.40, 598,152.92 and 132,463.32

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Solution

The fourth proportional to 398,701.40, 598,152.92 and 132,463.32 is: 198,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,701.40 : 598,152.92 = 132,463.32 : x
  2. Step 2: Convert to fraction form
    398,701.40/598,152.92 = 132,463.32/x
  3. Step 3: Cross multiply
    398,701.40x = 598,152.92 × 132,463.32
  4. Step 4: Simplify right side
    398,701.40x = 79,233,321,650.89
  5. Step 5: Solve for x
    x = 79,233,321,650.89/398,701.40
  6. Step 6: Final answer
    x = 198,728.48

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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.