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Finding the Fourth Proportional to 414,382.88, 571,641.36 and 261,610.40

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Solution

The fourth proportional to 414,382.88, 571,641.36 and 261,610.40 is: 360,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,382.88 : 571,641.36 = 261,610.40 : x
  2. Step 2: Convert to fraction form
    414,382.88/571,641.36 = 261,610.40/x
  3. Step 3: Cross multiply
    414,382.88x = 571,641.36 × 261,610.40
  4. Step 4: Simplify right side
    414,382.88x = 149,547,324,846.14
  5. Step 5: Solve for x
    x = 149,547,324,846.14/414,382.88
  6. Step 6: Final answer
    x = 360,891.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.