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Finding the Fourth Proportional to 418,229.80, 577,157.70 and 227,245.48

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Solution

The fourth proportional to 418,229.80, 577,157.70 and 227,245.48 is: 313,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,229.80 : 577,157.70 = 227,245.48 : x
  2. Step 2: Convert to fraction form
    418,229.80/577,157.70 = 227,245.48/x
  3. Step 3: Cross multiply
    418,229.80x = 577,157.70 × 227,245.48
  4. Step 4: Simplify right side
    418,229.80x = 131,156,478,572.20
  5. Step 5: Solve for x
    x = 131,156,478,572.20/418,229.80
  6. Step 6: Final answer
    x = 313,599.08

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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.