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Finding the Fourth Proportional to 288,523.28, 398,273.25 and 258,255.20

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Solution

The fourth proportional to 288,523.28, 398,273.25 and 258,255.20 is: 356,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,523.28 : 398,273.25 = 258,255.20 : x
  2. Step 2: Convert to fraction form
    288,523.28/398,273.25 = 258,255.20/x
  3. Step 3: Cross multiply
    288,523.28x = 398,273.25 × 258,255.20
  4. Step 4: Simplify right side
    288,523.28x = 102,856,135,842.03
  5. Step 5: Solve for x
    x = 102,856,135,842.03/288,523.28
  6. Step 6: Final answer
    x = 356,491.64

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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.