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Finding the Fourth Proportional to 221,654.40, 305,776.80 and 161,131.20

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Solution

The fourth proportional to 221,654.40, 305,776.80 and 161,131.20 is: 222,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,654.40 : 305,776.80 = 161,131.20 : x
  2. Step 2: Convert to fraction form
    221,654.40/305,776.80 = 161,131.20/x
  3. Step 3: Cross multiply
    221,654.40x = 305,776.80 × 161,131.20
  4. Step 4: Simplify right side
    221,654.40x = 49,270,182,716.16
  5. Step 5: Solve for x
    x = 49,270,182,716.16/221,654.40
  6. Step 6: Final answer
    x = 222,283.80

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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.