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Finding the Fourth Proportional to 312,488.80, 431,234.64 and 169,249.44

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Solution

The fourth proportional to 312,488.80, 431,234.64 and 169,249.44 is: 233,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,488.80 : 431,234.64 = 169,249.44 : x
  2. Step 2: Convert to fraction form
    312,488.80/431,234.64 = 169,249.44/x
  3. Step 3: Cross multiply
    312,488.80x = 431,234.64 × 169,249.44
  4. Step 4: Simplify right side
    312,488.80x = 72,986,221,328.60
  5. Step 5: Solve for x
    x = 72,986,221,328.60/312,488.80
  6. Step 6: Final answer
    x = 233,564.28

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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.