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Finding the Fourth Proportional to 642,160.82, 963,540.12 and 287,414.84

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Solution

The fourth proportional to 642,160.82, 963,540.12 and 287,414.84 is: 431,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,160.82 : 963,540.12 = 287,414.84 : x
  2. Step 2: Convert to fraction form
    642,160.82/963,540.12 = 287,414.84/x
  3. Step 3: Cross multiply
    642,160.82x = 963,540.12 × 287,414.84
  4. Step 4: Simplify right side
    642,160.82x = 276,935,729,423.38
  5. Step 5: Solve for x
    x = 276,935,729,423.38/642,160.82
  6. Step 6: Final answer
    x = 431,256.04

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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.