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Finding the Fourth Proportional to 257,996.46, 386,845.70 and 100,040.40

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Solution

The fourth proportional to 257,996.46, 386,845.70 and 100,040.40 is: 150,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996.46 : 386,845.70 = 100,040.40 : x
  2. Step 2: Convert to fraction form
    257,996.46/386,845.70 = 100,040.40/x
  3. Step 3: Cross multiply
    257,996.46x = 386,845.70 × 100,040.40
  4. Step 4: Simplify right side
    257,996.46x = 38,700,198,566.28
  5. Step 5: Solve for x
    x = 38,700,198,566.28/257,996.46
  6. Step 6: Final answer
    x = 150,002.83

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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.