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Finding the Fourth Proportional to 398,394.89, 597,709.15 and 128,517.62

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Solution

The fourth proportional to 398,394.89, 597,709.15 and 128,517.62 is: 192,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,394.89 : 597,709.15 = 128,517.62 : x
  2. Step 2: Convert to fraction form
    398,394.89/597,709.15 = 128,517.62/x
  3. Step 3: Cross multiply
    398,394.89x = 597,709.15 × 128,517.62
  4. Step 4: Simplify right side
    398,394.89x = 76,816,157,410.22
  5. Step 5: Solve for x
    x = 76,816,157,410.22/398,394.89
  6. Step 6: Final answer
    x = 192,814.11

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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.