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Finding the Fourth Proportional to 298,545.76, 447,843.93 and 85,314.88

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Solution

The fourth proportional to 298,545.76, 447,843.93 and 85,314.88 is: 127,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,545.76 : 447,843.93 = 85,314.88 : x
  2. Step 2: Convert to fraction form
    298,545.76/447,843.93 = 85,314.88/x
  3. Step 3: Cross multiply
    298,545.76x = 447,843.93 × 85,314.88
  4. Step 4: Simplify right side
    298,545.76x = 38,207,751,146.68
  5. Step 5: Solve for x
    x = 38,207,751,146.68/298,545.76
  6. Step 6: Final answer
    x = 127,979.55

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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.