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Finding the Fourth Proportional to 487,275.52, 731,282.56 and 206,989.44

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Solution

The fourth proportional to 487,275.52, 731,282.56 and 206,989.44 is: 310,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,275.52 : 731,282.56 = 206,989.44 : x
  2. Step 2: Convert to fraction form
    487,275.52/731,282.56 = 206,989.44/x
  3. Step 3: Cross multiply
    487,275.52x = 731,282.56 × 206,989.44
  4. Step 4: Simplify right side
    487,275.52x = 151,367,767,576.17
  5. Step 5: Solve for x
    x = 151,367,767,576.17/487,275.52
  6. Step 6: Final answer
    x = 310,641.03

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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.