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Finding the Fourth Proportional to 387,141.82, 580,711.47 and 102,860.80

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Solution

The fourth proportional to 387,141.82, 580,711.47 and 102,860.80 is: 154,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,141.82 : 580,711.47 = 102,860.80 : x
  2. Step 2: Convert to fraction form
    387,141.82/580,711.47 = 102,860.80/x
  3. Step 3: Cross multiply
    387,141.82x = 580,711.47 × 102,860.80
  4. Step 4: Simplify right side
    387,141.82x = 59,732,446,373.38
  5. Step 5: Solve for x
    x = 59,732,446,373.38/387,141.82
  6. Step 6: Final answer
    x = 154,290.87

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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.