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Finding the Fourth Proportional to 418,266.40, 577,211.28 and 227,279.80

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Solution

The fourth proportional to 418,266.40, 577,211.28 and 227,279.80 is: 313,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,266.40 : 577,211.28 = 227,279.80 : x
  2. Step 2: Convert to fraction form
    418,266.40/577,211.28 = 227,279.80/x
  3. Step 3: Cross multiply
    418,266.40x = 577,211.28 × 227,279.80
  4. Step 4: Simplify right side
    418,266.40x = 131,188,464,276.14
  5. Step 5: Solve for x
    x = 131,188,464,276.14/418,266.40
  6. Step 6: Final answer
    x = 313,648.11

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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.