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Finding the Fourth Proportional to 418,843.72, 578,005.14 and 227,857.96

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Solution

The fourth proportional to 418,843.72, 578,005.14 and 227,857.96 is: 314,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,843.72 : 578,005.14 = 227,857.96 : x
  2. Step 2: Convert to fraction form
    418,843.72/578,005.14 = 227,857.96/x
  3. Step 3: Cross multiply
    418,843.72x = 578,005.14 × 227,857.96
  4. Step 4: Simplify right side
    418,843.72x = 131,703,072,069.91
  5. Step 5: Solve for x
    x = 131,703,072,069.91/418,843.72
  6. Step 6: Final answer
    x = 314,444.42

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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.