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Finding the Fourth Proportional to 288,230.20, 431,762.10 and 199,583.80

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Solution

The fourth proportional to 288,230.20, 431,762.10 and 199,583.80 is: 298,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,230.20 : 431,762.10 = 199,583.80 : x
  2. Step 2: Convert to fraction form
    288,230.20/431,762.10 = 199,583.80/x
  3. Step 3: Cross multiply
    288,230.20x = 431,762.10 × 199,583.80
  4. Step 4: Simplify right side
    288,230.20x = 86,172,720,613.98
  5. Step 5: Solve for x
    x = 86,172,720,613.98/288,230.20
  6. Step 6: Final answer
    x = 298,971.87

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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.