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Finding the Fourth Proportional to 418,474.80, 577,488.42 and 227,493

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Solution

The fourth proportional to 418,474.80, 577,488.42 and 227,493 is: 313,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,474.80 : 577,488.42 = 227,493 : x
  2. Step 2: Convert to fraction form
    418,474.80/577,488.42 = 227,493/x
  3. Step 3: Cross multiply
    418,474.80x = 577,488.42 × 227,493
  4. Step 4: Simplify right side
    418,474.80x = 131,374,573,131.06
  5. Step 5: Solve for x
    x = 131,374,573,131.06/418,474.80
  6. Step 6: Final answer
    x = 313,936.64

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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.