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Finding the Fourth Proportional to 299,432.80, 448,910.72 and 172,929.12

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Solution

The fourth proportional to 299,432.80, 448,910.72 and 172,929.12 is: 259,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432.80 : 448,910.72 = 172,929.12 : x
  2. Step 2: Convert to fraction form
    299,432.80/448,910.72 = 172,929.12/x
  3. Step 3: Cross multiply
    299,432.80x = 448,910.72 × 172,929.12
  4. Step 4: Simplify right side
    299,432.80x = 77,629,735,768.17
  5. Step 5: Solve for x
    x = 77,629,735,768.17/299,432.80
  6. Step 6: Final answer
    x = 259,255.95

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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.