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Finding the Fourth Proportional to 206,502.40, 309,062.40 and 181,619.20

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Solution

The fourth proportional to 206,502.40, 309,062.40 and 181,619.20 is: 271,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,502.40 : 309,062.40 = 181,619.20 : x
  2. Step 2: Convert to fraction form
    206,502.40/309,062.40 = 181,619.20/x
  3. Step 3: Cross multiply
    206,502.40x = 309,062.40 × 181,619.20
  4. Step 4: Simplify right side
    206,502.40x = 56,131,665,838.08
  5. Step 5: Solve for x
    x = 56,131,665,838.08/206,502.40
  6. Step 6: Final answer
    x = 271,820.89

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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.