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Finding the Fourth Proportional to 389,996.46, 584,565.34 and 255,004.86

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Solution

The fourth proportional to 389,996.46, 584,565.34 and 255,004.86 is: 382,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,996.46 : 584,565.34 = 255,004.86 : x
  2. Step 2: Convert to fraction form
    389,996.46/584,565.34 = 255,004.86/x
  3. Step 3: Cross multiply
    389,996.46x = 584,565.34 × 255,004.86
  4. Step 4: Simplify right side
    389,996.46x = 149,067,002,687.55
  5. Step 5: Solve for x
    x = 149,067,002,687.55/389,996.46
  6. Step 6: Final answer
    x = 382,226.55

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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.