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Finding the Fourth Proportional to 431,514.21, 595,386.04 and 278,520

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Solution

The fourth proportional to 431,514.21, 595,386.04 and 278,520 is: 384,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,514.21 : 595,386.04 = 278,520 : x
  2. Step 2: Convert to fraction form
    431,514.21/595,386.04 = 278,520/x
  3. Step 3: Cross multiply
    431,514.21x = 595,386.04 × 278,520
  4. Step 4: Simplify right side
    431,514.21x = 165,826,919,860.80
  5. Step 5: Solve for x
    x = 165,826,919,860.80/431,514.21
  6. Step 6: Final answer
    x = 384,290.75

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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.