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Finding the Fourth Proportional to 418,882.74, 578,051.82 and 227,891.76

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Solution

The fourth proportional to 418,882.74, 578,051.82 and 227,891.76 is: 314,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,882.74 : 578,051.82 = 227,891.76 : x
  2. Step 2: Convert to fraction form
    418,882.74/578,051.82 = 227,891.76/x
  3. Step 3: Cross multiply
    418,882.74x = 578,051.82 × 227,891.76
  4. Step 4: Simplify right side
    418,882.74x = 131,733,246,631.00
  5. Step 5: Solve for x
    x = 131,733,246,631.00/418,882.74
  6. Step 6: Final answer
    x = 314,487.17

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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.