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Finding the Fourth Proportional to 398,389.38, 597,700.85 and 128,512.13

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Solution

The fourth proportional to 398,389.38, 597,700.85 and 128,512.13 is: 192,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,389.38 : 597,700.85 = 128,512.13 : x
  2. Step 2: Convert to fraction form
    398,389.38/597,700.85 = 128,512.13/x
  3. Step 3: Cross multiply
    398,389.38x = 597,700.85 × 128,512.13
  4. Step 4: Simplify right side
    398,389.38x = 76,811,805,705.25
  5. Step 5: Solve for x
    x = 76,811,805,705.25/398,389.38
  6. Step 6: Final answer
    x = 192,805.86

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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.