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Finding the Fourth Proportional to 206,008.80, 308,451.24 and 155,937.12

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Solution

The fourth proportional to 206,008.80, 308,451.24 and 155,937.12 is: 233,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,008.80 : 308,451.24 = 155,937.12 : x
  2. Step 2: Convert to fraction form
    206,008.80/308,451.24 = 155,937.12/x
  3. Step 3: Cross multiply
    206,008.80x = 308,451.24 × 155,937.12
  4. Step 4: Simplify right side
    206,008.80x = 48,098,998,026.03
  5. Step 5: Solve for x
    x = 48,098,998,026.03/206,008.80
  6. Step 6: Final answer
    x = 233,480.31

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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.