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Finding the Fourth Proportional to 288,107.60, 431,794.20 and 161,747.60

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Solution

The fourth proportional to 288,107.60, 431,794.20 and 161,747.60 is: 242,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,107.60 : 431,794.20 = 161,747.60 : x
  2. Step 2: Convert to fraction form
    288,107.60/431,794.20 = 161,747.60/x
  3. Step 3: Cross multiply
    288,107.60x = 431,794.20 × 161,747.60
  4. Step 4: Simplify right side
    288,107.60x = 69,841,675,543.92
  5. Step 5: Solve for x
    x = 69,841,675,543.92/288,107.60
  6. Step 6: Final answer
    x = 242,415.25

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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.