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Finding the Fourth Proportional to 387,072.29, 580,608.49 and 120,855.61

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Solution

The fourth proportional to 387,072.29, 580,608.49 and 120,855.61 is: 181,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,072.29 : 580,608.49 = 120,855.61 : x
  2. Step 2: Convert to fraction form
    387,072.29/580,608.49 = 120,855.61/x
  3. Step 3: Cross multiply
    387,072.29x = 580,608.49 × 120,855.61
  4. Step 4: Simplify right side
    387,072.29x = 70,169,791,476.47
  5. Step 5: Solve for x
    x = 70,169,791,476.47/387,072.29
  6. Step 6: Final answer
    x = 181,283.43

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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.