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Finding the Fourth Proportional to 312,488.90, 431,115.77 and 231,012.80

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Solution

The fourth proportional to 312,488.90, 431,115.77 and 231,012.80 is: 318,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,488.90 : 431,115.77 = 231,012.80 : x
  2. Step 2: Convert to fraction form
    312,488.90/431,115.77 = 231,012.80/x
  3. Step 3: Cross multiply
    312,488.90x = 431,115.77 × 231,012.80
  4. Step 4: Simplify right side
    312,488.90x = 99,593,257,841.21
  5. Step 5: Solve for x
    x = 99,593,257,841.21/312,488.90
  6. Step 6: Final answer
    x = 318,709.75

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1.5x scale

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.