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Finding the Fourth Proportional to 308,049.80, 461,729.10 and 158,232.20

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Solution

The fourth proportional to 308,049.80, 461,729.10 and 158,232.20 is: 237,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,049.80 : 461,729.10 = 158,232.20 : x
  2. Step 2: Convert to fraction form
    308,049.80/461,729.10 = 158,232.20/x
  3. Step 3: Cross multiply
    308,049.80x = 461,729.10 × 158,232.20
  4. Step 4: Simplify right side
    308,049.80x = 73,060,411,297.02
  5. Step 5: Solve for x
    x = 73,060,411,297.02/308,049.80
  6. Step 6: Final answer
    x = 237,170.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.