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Finding the Fourth Proportional to 418,580.80, 577,634.64 and 227,599

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Solution

The fourth proportional to 418,580.80, 577,634.64 and 227,599 is: 314,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,580.80 : 577,634.64 = 227,599 : x
  2. Step 2: Convert to fraction form
    418,580.80/577,634.64 = 227,599/x
  3. Step 3: Cross multiply
    418,580.80x = 577,634.64 × 227,599
  4. Step 4: Simplify right side
    418,580.80x = 131,469,066,429.36
  5. Step 5: Solve for x
    x = 131,469,066,429.36/418,580.80
  6. Step 6: Final answer
    x = 314,082.89

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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.