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Finding the Fourth Proportional to 387,906.48, 535,318.20 and 226,775.28

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Solution

The fourth proportional to 387,906.48, 535,318.20 and 226,775.28 is: 312,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,906.48 : 535,318.20 = 226,775.28 : x
  2. Step 2: Convert to fraction form
    387,906.48/535,318.20 = 226,775.28/x
  3. Step 3: Cross multiply
    387,906.48x = 535,318.20 × 226,775.28
  4. Step 4: Simplify right side
    387,906.48x = 121,396,934,694.10
  5. Step 5: Solve for x
    x = 121,396,934,694.10/387,906.48
  6. Step 6: Final answer
    x = 312,954.13

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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.