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Finding the Fourth Proportional to 299,709.19, 447,377.48 and 261,874.78

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Solution

The fourth proportional to 299,709.19, 447,377.48 and 261,874.78 is: 390,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,709.19 : 447,377.48 = 261,874.78 : x
  2. Step 2: Convert to fraction form
    299,709.19/447,377.48 = 261,874.78/x
  3. Step 3: Cross multiply
    299,709.19x = 447,377.48 × 261,874.78
  4. Step 4: Simplify right side
    299,709.19x = 117,156,876,724.14
  5. Step 5: Solve for x
    x = 117,156,876,724.14/299,709.19
  6. Step 6: Final answer
    x = 390,901.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.