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Finding the Fourth Proportional to 418,241.61, 577,175.22 and 227,255.76

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Solution

The fourth proportional to 418,241.61, 577,175.22 and 227,255.76 is: 313,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,241.61 : 577,175.22 = 227,255.76 : x
  2. Step 2: Convert to fraction form
    418,241.61/577,175.22 = 227,255.76/x
  3. Step 3: Cross multiply
    418,241.61x = 577,175.22 × 227,255.76
  4. Step 4: Simplify right side
    418,241.61x = 131,166,393,274.27
  5. Step 5: Solve for x
    x = 131,166,393,274.27/418,241.61
  6. Step 6: Final answer
    x = 313,613.93

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1.5x scale

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.