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Finding the Fourth Proportional to 414,443.79, 621,665.69 and 274,169.61

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Solution

The fourth proportional to 414,443.79, 621,665.69 and 274,169.61 is: 411,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,443.79 : 621,665.69 = 274,169.61 : x
  2. Step 2: Convert to fraction form
    414,443.79/621,665.69 = 274,169.61/x
  3. Step 3: Cross multiply
    414,443.79x = 621,665.69 × 274,169.61
  4. Step 4: Simplify right side
    414,443.79x = 170,441,838,406.83
  5. Step 5: Solve for x
    x = 170,441,838,406.83/414,443.79
  6. Step 6: Final answer
    x = 411,254.42

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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.