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Finding the Fourth Proportional to 488,098.92, 731,976.80 and 146,440.48

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Solution

The fourth proportional to 488,098.92, 731,976.80 and 146,440.48 is: 219,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,098.92 : 731,976.80 = 146,440.48 : x
  2. Step 2: Convert to fraction form
    488,098.92/731,976.80 = 146,440.48/x
  3. Step 3: Cross multiply
    488,098.92x = 731,976.80 × 146,440.48
  4. Step 4: Simplify right side
    488,098.92x = 107,191,033,940.86
  5. Step 5: Solve for x
    x = 107,191,033,940.86/488,098.92
  6. Step 6: Final answer
    x = 219,609.24

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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.