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Finding the Fourth Proportional to 642,067.71, 963,165.29 and 237,366

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Solution

The fourth proportional to 642,067.71, 963,165.29 and 237,366 is: 356,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,067.71 : 963,165.29 = 237,366 : x
  2. Step 2: Convert to fraction form
    642,067.71/963,165.29 = 237,366/x
  3. Step 3: Cross multiply
    642,067.71x = 963,165.29 × 237,366
  4. Step 4: Simplify right side
    642,067.71x = 228,622,691,039.31
  5. Step 5: Solve for x
    x = 228,622,691,039.31/642,067.71
  6. Step 6: Final answer
    x = 356,072.56

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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.