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Finding the Fourth Proportional to 431,735.28, 647,210.86 and 151,099.44

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Solution

The fourth proportional to 431,735.28, 647,210.86 and 151,099.44 is: 226,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,735.28 : 647,210.86 = 151,099.44 : x
  2. Step 2: Convert to fraction form
    431,735.28/647,210.86 = 151,099.44/x
  3. Step 3: Cross multiply
    431,735.28x = 647,210.86 × 151,099.44
  4. Step 4: Simplify right side
    431,735.28x = 97,793,198,507.92
  5. Step 5: Solve for x
    x = 97,793,198,507.92/431,735.28
  6. Step 6: Final answer
    x = 226,511.95

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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.