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Finding the Fourth Proportional to 206,202.40, 306,833.48 and 205,502.56

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Solution

The fourth proportional to 206,202.40, 306,833.48 and 205,502.56 is: 305,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,202.40 : 306,833.48 = 205,502.56 : x
  2. Step 2: Convert to fraction form
    206,202.40/306,833.48 = 205,502.56/x
  3. Step 3: Cross multiply
    206,202.40x = 306,833.48 × 205,502.56
  4. Step 4: Simplify right side
    206,202.40x = 63,055,065,633.71
  5. Step 5: Solve for x
    x = 63,055,065,633.71/206,202.40
  6. Step 6: Final answer
    x = 305,792.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.