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Finding the Fourth Proportional to 320,414.34, 442,363.65 and 199,719.11

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Solution

The fourth proportional to 320,414.34, 442,363.65 and 199,719.11 is: 275,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,414.34 : 442,363.65 = 199,719.11 : x
  2. Step 2: Convert to fraction form
    320,414.34/442,363.65 = 199,719.11/x
  3. Step 3: Cross multiply
    320,414.34x = 442,363.65 × 199,719.11
  4. Step 4: Simplify right side
    320,414.34x = 88,348,472,262.53
  5. Step 5: Solve for x
    x = 88,348,472,262.53/320,414.34
  6. Step 6: Final answer
    x = 275,731.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.