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Finding the Fourth Proportional to 442,387.47, 663,583.64 and 109,963.47

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Solution

The fourth proportional to 442,387.47, 663,583.64 and 109,963.47 is: 164,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,387.47 : 663,583.64 = 109,963.47 : x
  2. Step 2: Convert to fraction form
    442,387.47/663,583.64 = 109,963.47/x
  3. Step 3: Cross multiply
    442,387.47x = 663,583.64 × 109,963.47
  4. Step 4: Simplify right side
    442,387.47x = 72,969,959,689.63
  5. Step 5: Solve for x
    x = 72,969,959,689.63/442,387.47
  6. Step 6: Final answer
    x = 164,945.81

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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.