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Finding the Fourth Proportional to 298,456.92, 447,403.96 and 148,555.48

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Solution

The fourth proportional to 298,456.92, 447,403.96 and 148,555.48 is: 222,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,456.92 : 447,403.96 = 148,555.48 : x
  2. Step 2: Convert to fraction form
    298,456.92/447,403.96 = 148,555.48/x
  3. Step 3: Cross multiply
    298,456.92x = 447,403.96 × 148,555.48
  4. Step 4: Simplify right side
    298,456.92x = 66,464,310,031.70
  5. Step 5: Solve for x
    x = 66,464,310,031.70/298,456.92
  6. Step 6: Final answer
    x = 222,693.14

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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.