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Finding the Fourth Proportional to 387,765.14, 535,115.89 and 226,755.47

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Solution

The fourth proportional to 387,765.14, 535,115.89 and 226,755.47 is: 312,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,765.14 : 535,115.89 = 226,755.47 : x
  2. Step 2: Convert to fraction form
    387,765.14/535,115.89 = 226,755.47/x
  3. Step 3: Cross multiply
    387,765.14x = 535,115.89 × 226,755.47
  4. Step 4: Simplify right side
    387,765.14x = 121,340,454,390.38
  5. Step 5: Solve for x
    x = 121,340,454,390.38/387,765.14
  6. Step 6: Final answer
    x = 312,922.54

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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.