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Finding the Fourth Proportional to 431,895.36, 647,854.56 and 151,429.44

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Solution

The fourth proportional to 431,895.36, 647,854.56 and 151,429.44 is: 227,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,895.36 : 647,854.56 = 151,429.44 : x
  2. Step 2: Convert to fraction form
    431,895.36/647,854.56 = 151,429.44/x
  3. Step 3: Cross multiply
    431,895.36x = 647,854.56 × 151,429.44
  4. Step 4: Simplify right side
    431,895.36x = 98,104,253,222.25
  5. Step 5: Solve for x
    x = 98,104,253,222.25/431,895.36
  6. Step 6: Final answer
    x = 227,148.20

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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.