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Finding the Fourth Proportional to 288,591.49, 398,255.61 and 161,267.09

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Solution

The fourth proportional to 288,591.49, 398,255.61 and 161,267.09 is: 222,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,591.49 : 398,255.61 = 161,267.09 : x
  2. Step 2: Convert to fraction form
    288,591.49/398,255.61 = 161,267.09/x
  3. Step 3: Cross multiply
    288,591.49x = 398,255.61 × 161,267.09
  4. Step 4: Simplify right side
    288,591.49x = 64,225,523,300.87
  5. Step 5: Solve for x
    x = 64,225,523,300.87/288,591.49
  6. Step 6: Final answer
    x = 222,548.23

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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.