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Finding the Fourth Proportional to 418,902.13, 578,076.24 and 227,916.28

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Solution

The fourth proportional to 418,902.13, 578,076.24 and 227,916.28 is: 314,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,902.13 : 578,076.24 = 227,916.28 : x
  2. Step 2: Convert to fraction form
    418,902.13/578,076.24 = 227,916.28/x
  3. Step 3: Cross multiply
    418,902.13x = 578,076.24 × 227,916.28
  4. Step 4: Simplify right side
    418,902.13x = 131,752,986,177.19
  5. Step 5: Solve for x
    x = 131,752,986,177.19/418,902.13
  6. Step 6: Final answer
    x = 314,519.73

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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.