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Finding the Fourth Proportional to 398,394.72, 597,708.87 and 128,517.45

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Solution

The fourth proportional to 398,394.72, 597,708.87 and 128,517.45 is: 192,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,394.72 : 597,708.87 = 128,517.45 : x
  2. Step 2: Convert to fraction form
    398,394.72/597,708.87 = 128,517.45/x
  3. Step 3: Cross multiply
    398,394.72x = 597,708.87 × 128,517.45
  4. Step 4: Simplify right side
    398,394.72x = 76,816,019,814.78
  5. Step 5: Solve for x
    x = 76,816,019,814.78/398,394.72
  6. Step 6: Final answer
    x = 192,813.85

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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.