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Finding the Fourth Proportional to 418,882.87, 578,065.31 and 227,897.29

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Solution

The fourth proportional to 418,882.87, 578,065.31 and 227,897.29 is: 314,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,882.87 : 578,065.31 = 227,897.29 : x
  2. Step 2: Convert to fraction form
    418,882.87/578,065.31 = 227,897.29/x
  3. Step 3: Cross multiply
    418,882.87x = 578,065.31 × 227,897.29
  4. Step 4: Simplify right side
    418,882.87x = 131,739,516,452.52
  5. Step 5: Solve for x
    x = 131,739,516,452.52/418,882.87
  6. Step 6: Final answer
    x = 314,502.04

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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.