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Finding the Fourth Proportional to 418,486.80, 577,504.98 and 227,505

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Solution

The fourth proportional to 418,486.80, 577,504.98 and 227,505 is: 313,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,486.80 : 577,504.98 = 227,505 : x
  2. Step 2: Convert to fraction form
    418,486.80/577,504.98 = 227,505/x
  3. Step 3: Cross multiply
    418,486.80x = 577,504.98 × 227,505
  4. Step 4: Simplify right side
    418,486.80x = 131,385,270,474.90
  5. Step 5: Solve for x
    x = 131,385,270,474.90/418,486.80
  6. Step 6: Final answer
    x = 313,953.20

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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.