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Finding the Fourth Proportional to 387,932.49, 535,266.56 and 226,756.36

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Solution

The fourth proportional to 387,932.49, 535,266.56 and 226,756.36 is: 312,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,932.49 : 535,266.56 = 226,756.36 : x
  2. Step 2: Convert to fraction form
    387,932.49/535,266.56 = 226,756.36/x
  3. Step 3: Cross multiply
    387,932.49x = 535,266.56 × 226,756.36
  4. Step 4: Simplify right side
    387,932.49x = 121,375,098,011.30
  5. Step 5: Solve for x
    x = 121,375,098,011.30/387,932.49
  6. Step 6: Final answer
    x = 312,876.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.