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Finding the Fourth Proportional to 391,879.14, 588,080.34 and 142,561.14

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Solution

The fourth proportional to 391,879.14, 588,080.34 and 142,561.14 is: 213,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,879.14 : 588,080.34 = 142,561.14 : x
  2. Step 2: Convert to fraction form
    391,879.14/588,080.34 = 142,561.14/x
  3. Step 3: Cross multiply
    391,879.14x = 588,080.34 × 142,561.14
  4. Step 4: Simplify right side
    391,879.14x = 83,837,403,681.99
  5. Step 5: Solve for x
    x = 83,837,403,681.99/391,879.14
  6. Step 6: Final answer
    x = 213,936.89

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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.