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Finding the Fourth Proportional to 387,071.41, 580,607.17 and 120,854.73

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Solution

The fourth proportional to 387,071.41, 580,607.17 and 120,854.73 is: 181,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,071.41 : 580,607.17 = 120,854.73 : x
  2. Step 2: Convert to fraction form
    387,071.41/580,607.17 = 120,854.73/x
  3. Step 3: Cross multiply
    387,071.41x = 580,607.17 × 120,854.73
  4. Step 4: Simplify right side
    387,071.41x = 70,169,122,766.41
  5. Step 5: Solve for x
    x = 70,169,122,766.41/387,071.41
  6. Step 6: Final answer
    x = 181,282.11

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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.