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Finding the Fourth Proportional to 298,553.64, 447,831 and 88,339.20

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Solution

The fourth proportional to 298,553.64, 447,831 and 88,339.20 is: 132,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,553.64 : 447,831 = 88,339.20 : x
  2. Step 2: Convert to fraction form
    298,553.64/447,831 = 88,339.20/x
  3. Step 3: Cross multiply
    298,553.64x = 447,831 × 88,339.20
  4. Step 4: Simplify right side
    298,553.64x = 39,561,032,275.20
  5. Step 5: Solve for x
    x = 39,561,032,275.20/298,553.64
  6. Step 6: Final answer
    x = 132,508.96

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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.