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Finding the Fourth Proportional to 488,081.90, 731,951.31 and 146,423.45

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Solution

The fourth proportional to 488,081.90, 731,951.31 and 146,423.45 is: 219,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,081.90 : 731,951.31 = 146,423.45 : x
  2. Step 2: Convert to fraction form
    488,081.90/731,951.31 = 146,423.45/x
  3. Step 3: Cross multiply
    488,081.90x = 731,951.31 × 146,423.45
  4. Step 4: Simplify right side
    488,081.90x = 107,174,836,042.22
  5. Step 5: Solve for x
    x = 107,174,836,042.22/488,081.90
  6. Step 6: Final answer
    x = 219,583.71

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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.