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Finding the Fourth Proportional to 410,669.51, 614,713.73 and 261,078.71

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Solution

The fourth proportional to 410,669.51, 614,713.73 and 261,078.71 is: 390,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,669.51 : 614,713.73 = 261,078.71 : x
  2. Step 2: Convert to fraction form
    410,669.51/614,713.73 = 261,078.71/x
  3. Step 3: Cross multiply
    410,669.51x = 614,713.73 × 261,078.71
  4. Step 4: Simplify right side
    410,669.51x = 160,488,663,268.73
  5. Step 5: Solve for x
    x = 160,488,663,268.73/410,669.51
  6. Step 6: Final answer
    x = 390,797.62

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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.