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Finding the Fourth Proportional to 288,083.60, 431,758.20 and 161,723.60

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Solution

The fourth proportional to 288,083.60, 431,758.20 and 161,723.60 is: 242,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,083.60 : 431,758.20 = 161,723.60 : x
  2. Step 2: Convert to fraction form
    288,083.60/431,758.20 = 161,723.60/x
  3. Step 3: Cross multiply
    288,083.60x = 431,758.20 × 161,723.60
  4. Step 4: Simplify right side
    288,083.60x = 69,825,490,433.52
  5. Step 5: Solve for x
    x = 69,825,490,433.52/288,083.60
  6. Step 6: Final answer
    x = 242,379.26

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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.