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Finding the Fourth Proportional to 288,203.59, 397,668.52 and 202,424.67

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Solution

The fourth proportional to 288,203.59, 397,668.52 and 202,424.67 is: 279,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,203.59 : 397,668.52 = 202,424.67 : x
  2. Step 2: Convert to fraction form
    288,203.59/397,668.52 = 202,424.67/x
  3. Step 3: Cross multiply
    288,203.59x = 397,668.52 × 202,424.67
  4. Step 4: Simplify right side
    288,203.59x = 80,497,918,930.39
  5. Step 5: Solve for x
    x = 80,497,918,930.39/288,203.59
  6. Step 6: Final answer
    x = 279,309.22

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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.