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Finding the Fourth Proportional to 387,076.30, 580,614.49 and 120,859.61

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Solution

The fourth proportional to 387,076.30, 580,614.49 and 120,859.61 is: 181,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,076.30 : 580,614.49 = 120,859.61 : x
  2. Step 2: Convert to fraction form
    387,076.30/580,614.49 = 120,859.61/x
  3. Step 3: Cross multiply
    387,076.30x = 580,614.49 × 120,859.61
  4. Step 4: Simplify right side
    387,076.30x = 70,172,840,821.75
  5. Step 5: Solve for x
    x = 70,172,840,821.75/387,076.30
  6. Step 6: Final answer
    x = 181,289.43

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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.