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Finding the Fourth Proportional to 298,588.48, 447,277.92 and 138,438.88

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Solution

The fourth proportional to 298,588.48, 447,277.92 and 138,438.88 is: 207,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,588.48 : 447,277.92 = 138,438.88 : x
  2. Step 2: Convert to fraction form
    298,588.48/447,277.92 = 138,438.88/x
  3. Step 3: Cross multiply
    298,588.48x = 447,277.92 × 138,438.88
  4. Step 4: Simplify right side
    298,588.48x = 61,920,654,293.53
  5. Step 5: Solve for x
    x = 61,920,654,293.53/298,588.48
  6. Step 6: Final answer
    x = 207,377.91

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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.