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Finding the Fourth Proportional to 288,042.87, 397,388.30 and 180,425.55

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Solution

The fourth proportional to 288,042.87, 397,388.30 and 180,425.55 is: 248,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,042.87 : 397,388.30 = 180,425.55 : x
  2. Step 2: Convert to fraction form
    288,042.87/397,388.30 = 180,425.55/x
  3. Step 3: Cross multiply
    288,042.87x = 397,388.30 × 180,425.55
  4. Step 4: Simplify right side
    288,042.87x = 71,699,001,688.94
  5. Step 5: Solve for x
    x = 71,699,001,688.94/288,042.87
  6. Step 6: Final answer
    x = 248,917.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.