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Finding the Fourth Proportional to 400,121.10, 599,306.85 and 310,672.80

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Solution

The fourth proportional to 400,121.10, 599,306.85 and 310,672.80 is: 465,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,121.10 : 599,306.85 = 310,672.80 : x
  2. Step 2: Convert to fraction form
    400,121.10/599,306.85 = 310,672.80/x
  3. Step 3: Cross multiply
    400,121.10x = 599,306.85 × 310,672.80
  4. Step 4: Simplify right side
    400,121.10x = 186,188,337,148.68
  5. Step 5: Solve for x
    x = 186,188,337,148.68/400,121.10
  6. Step 6: Final answer
    x = 465,329.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.