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Finding the Fourth Proportional to 414,371.79, 621,557.69 and 274,097.61

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Solution

The fourth proportional to 414,371.79, 621,557.69 and 274,097.61 is: 411,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,371.79 : 621,557.69 = 274,097.61 : x
  2. Step 2: Convert to fraction form
    414,371.79/621,557.69 = 274,097.61/x
  3. Step 3: Cross multiply
    414,371.79x = 621,557.69 × 274,097.61
  4. Step 4: Simplify right side
    414,371.79x = 170,367,475,935.63
  5. Step 5: Solve for x
    x = 170,367,475,935.63/414,371.79
  6. Step 6: Final answer
    x = 411,146.42

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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.