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Finding the Fourth Proportional to 391,046.69, 539,645.82 and 218,972.16

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Solution

The fourth proportional to 391,046.69, 539,645.82 and 218,972.16 is: 302,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,046.69 : 539,645.82 = 218,972.16 : x
  2. Step 2: Convert to fraction form
    391,046.69/539,645.82 = 218,972.16/x
  3. Step 3: Cross multiply
    391,046.69x = 539,645.82 × 218,972.16
  4. Step 4: Simplify right side
    391,046.69x = 118,167,410,635.09
  5. Step 5: Solve for x
    x = 118,167,410,635.09/391,046.69
  6. Step 6: Final answer
    x = 302,182.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.