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Finding the Fourth Proportional to 414,651.38, 572,395.48 and 278,764.15

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Solution

The fourth proportional to 414,651.38, 572,395.48 and 278,764.15 is: 384,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,651.38 : 572,395.48 = 278,764.15 : x
  2. Step 2: Convert to fraction form
    414,651.38/572,395.48 = 278,764.15/x
  3. Step 3: Cross multiply
    414,651.38x = 572,395.48 × 278,764.15
  4. Step 4: Simplify right side
    414,651.38x = 159,563,337,470.16
  5. Step 5: Solve for x
    x = 159,563,337,470.16/414,651.38
  6. Step 6: Final answer
    x = 384,813.23

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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.