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Finding the Fourth Proportional to 687,672.40, 949,326.60 and 433,414.48

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Solution

The fourth proportional to 687,672.40, 949,326.60 and 433,414.48 is: 598,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,672.40 : 949,326.60 = 433,414.48 : x
  2. Step 2: Convert to fraction form
    687,672.40/949,326.60 = 433,414.48/x
  3. Step 3: Cross multiply
    687,672.40x = 949,326.60 × 433,414.48
  4. Step 4: Simplify right side
    687,672.40x = 411,451,894,689.17
  5. Step 5: Solve for x
    x = 411,451,894,689.17/687,672.40
  6. Step 6: Final answer
    x = 598,325.44

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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.