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Finding the Fourth Proportional to 298,462.76, 447,542.10 and 146,669.96

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Solution

The fourth proportional to 298,462.76, 447,542.10 and 146,669.96 is: 219,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,462.76 : 447,542.10 = 146,669.96 : x
  2. Step 2: Convert to fraction form
    298,462.76/447,542.10 = 146,669.96/x
  3. Step 3: Cross multiply
    298,462.76x = 447,542.10 × 146,669.96
  4. Step 4: Simplify right side
    298,462.76x = 65,640,981,905.32
  5. Step 5: Solve for x
    x = 65,640,981,905.32/298,462.76
  6. Step 6: Final answer
    x = 219,930.22

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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.