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Finding the Fourth Proportional to 498,675.60, 748,110.60 and 199,105.20

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Solution

The fourth proportional to 498,675.60, 748,110.60 and 199,105.20 is: 298,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,675.60 : 748,110.60 = 199,105.20 : x
  2. Step 2: Convert to fraction form
    498,675.60/748,110.60 = 199,105.20/x
  3. Step 3: Cross multiply
    498,675.60x = 748,110.60 × 199,105.20
  4. Step 4: Simplify right side
    498,675.60x = 148,952,710,635.12
  5. Step 5: Solve for x
    x = 148,952,710,635.12/498,675.60
  6. Step 6: Final answer
    x = 298,696.61

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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.