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Finding the Fourth Proportional to 414,649.02, 572,392.20 and 278,761.78

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Solution

The fourth proportional to 414,649.02, 572,392.20 and 278,761.78 is: 384,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,649.02 : 572,392.20 = 278,761.78 : x
  2. Step 2: Convert to fraction form
    414,649.02/572,392.20 = 278,761.78/x
  3. Step 3: Cross multiply
    414,649.02x = 572,392.20 × 278,761.78
  4. Step 4: Simplify right side
    414,649.02x = 159,561,070,290.96
  5. Step 5: Solve for x
    x = 159,561,070,290.96/414,649.02
  6. Step 6: Final answer
    x = 384,809.95

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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.