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Finding the Fourth Proportional to 372,102.47, 513,711.80 and 284,722.85

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Solution

The fourth proportional to 372,102.47, 513,711.80 and 284,722.85 is: 393,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,102.47 : 513,711.80 = 284,722.85 : x
  2. Step 2: Convert to fraction form
    372,102.47/513,711.80 = 284,722.85/x
  3. Step 3: Cross multiply
    372,102.47x = 513,711.80 × 284,722.85
  4. Step 4: Simplify right side
    372,102.47x = 146,265,485,917.88
  5. Step 5: Solve for x
    x = 146,265,485,917.88/372,102.47
  6. Step 6: Final answer
    x = 393,078.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.