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Finding the Fourth Proportional to 414,648.71, 572,391.78 and 278,761.47

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Solution

The fourth proportional to 414,648.71, 572,391.78 and 278,761.47 is: 384,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,648.71 : 572,391.78 = 278,761.47 : x
  2. Step 2: Convert to fraction form
    414,648.71/572,391.78 = 278,761.47/x
  3. Step 3: Cross multiply
    414,648.71x = 572,391.78 × 278,761.47
  4. Step 4: Simplify right side
    414,648.71x = 159,560,774,008.72
  5. Step 5: Solve for x
    x = 159,560,774,008.72/414,648.71
  6. Step 6: Final answer
    x = 384,809.53

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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.