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Finding the Fourth Proportional to 431,080.74, 595,029.30 and 278,123.22

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Solution

The fourth proportional to 431,080.74, 595,029.30 and 278,123.22 is: 383,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,080.74 : 595,029.30 = 278,123.22 : x
  2. Step 2: Convert to fraction form
    431,080.74/595,029.30 = 278,123.22/x
  3. Step 3: Cross multiply
    431,080.74x = 595,029.30 × 278,123.22
  4. Step 4: Simplify right side
    431,080.74x = 165,491,464,910.35
  5. Step 5: Solve for x
    x = 165,491,464,910.35/431,080.74
  6. Step 6: Final answer
    x = 383,899.00

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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.