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Finding the Fourth Proportional to 418,266.90, 577,211.97 and 227,280.30

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Solution

The fourth proportional to 418,266.90, 577,211.97 and 227,280.30 is: 313,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,266.90 : 577,211.97 = 227,280.30 : x
  2. Step 2: Convert to fraction form
    418,266.90/577,211.97 = 227,280.30/x
  3. Step 3: Cross multiply
    418,266.90x = 577,211.97 × 227,280.30
  4. Step 4: Simplify right side
    418,266.90x = 131,188,909,705.19
  5. Step 5: Solve for x
    x = 131,188,909,705.19/418,266.90
  6. Step 6: Final answer
    x = 313,648.80

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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.