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Finding the Fourth Proportional to 391,980.66, 587,780.85 and 229,918.98

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Solution

The fourth proportional to 391,980.66, 587,780.85 and 229,918.98 is: 344,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,980.66 : 587,780.85 = 229,918.98 : x
  2. Step 2: Convert to fraction form
    391,980.66/587,780.85 = 229,918.98/x
  3. Step 3: Cross multiply
    391,980.66x = 587,780.85 × 229,918.98
  4. Step 4: Simplify right side
    391,980.66x = 135,141,973,495.53
  5. Step 5: Solve for x
    x = 135,141,973,495.53/391,980.66
  6. Step 6: Final answer
    x = 344,766.94

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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.