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Finding the Fourth Proportional to 387,769.94, 535,122.53 and 226,760.28

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Solution

The fourth proportional to 387,769.94, 535,122.53 and 226,760.28 is: 312,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,769.94 : 535,122.53 = 226,760.28 : x
  2. Step 2: Convert to fraction form
    387,769.94/535,122.53 = 226,760.28/x
  3. Step 3: Cross multiply
    387,769.94x = 535,122.53 × 226,760.28
  4. Step 4: Simplify right side
    387,769.94x = 121,344,534,737.11
  5. Step 5: Solve for x
    x = 121,344,534,737.11/387,769.94
  6. Step 6: Final answer
    x = 312,929.19

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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.