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Finding the Fourth Proportional to 387,151.47, 580,706.55 and 120,881.52

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Solution

The fourth proportional to 387,151.47, 580,706.55 and 120,881.52 is: 181,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,151.47 : 580,706.55 = 120,881.52 : x
  2. Step 2: Convert to fraction form
    387,151.47/580,706.55 = 120,881.52/x
  3. Step 3: Cross multiply
    387,151.47x = 580,706.55 × 120,881.52
  4. Step 4: Simplify right side
    387,151.47x = 70,196,690,437.96
  5. Step 5: Solve for x
    x = 70,196,690,437.96/387,151.47
  6. Step 6: Final answer
    x = 181,315.83

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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.