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Finding the Fourth Proportional to 398,254.38, 597,287.20 and 113,936.15

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Solution

The fourth proportional to 398,254.38, 597,287.20 and 113,936.15 is: 170,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,254.38 : 597,287.20 = 113,936.15 : x
  2. Step 2: Convert to fraction form
    398,254.38/597,287.20 = 113,936.15/x
  3. Step 3: Cross multiply
    398,254.38x = 597,287.20 × 113,936.15
  4. Step 4: Simplify right side
    398,254.38x = 68,052,604,012.28
  5. Step 5: Solve for x
    x = 68,052,604,012.28/398,254.38
  6. Step 6: Final answer
    x = 170,877.23

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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.