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Finding the Fourth Proportional to 407,502.38, 611,386.40 and 204,993.97

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Solution

The fourth proportional to 407,502.38, 611,386.40 and 204,993.97 is: 307,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,502.38 : 611,386.40 = 204,993.97 : x
  2. Step 2: Convert to fraction form
    407,502.38/611,386.40 = 204,993.97/x
  3. Step 3: Cross multiply
    407,502.38x = 611,386.40 × 204,993.97
  4. Step 4: Simplify right side
    407,502.38x = 125,330,524,324.03
  5. Step 5: Solve for x
    x = 125,330,524,324.03/407,502.38
  6. Step 6: Final answer
    x = 307,557.77

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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.