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Finding the Fourth Proportional to 230,344.20, 345,516.30 and 205,849.80

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Solution

The fourth proportional to 230,344.20, 345,516.30 and 205,849.80 is: 308,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,344.20 : 345,516.30 = 205,849.80 : x
  2. Step 2: Convert to fraction form
    230,344.20/345,516.30 = 205,849.80/x
  3. Step 3: Cross multiply
    230,344.20x = 345,516.30 × 205,849.80
  4. Step 4: Simplify right side
    230,344.20x = 71,124,461,251.74
  5. Step 5: Solve for x
    x = 71,124,461,251.74/230,344.20
  6. Step 6: Final answer
    x = 308,774.70

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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.