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Finding the Fourth Proportional to 192,298.40, 288,447.60 and 171,408.80

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Solution

The fourth proportional to 192,298.40, 288,447.60 and 171,408.80 is: 257,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,298.40 : 288,447.60 = 171,408.80 : x
  2. Step 2: Convert to fraction form
    192,298.40/288,447.60 = 171,408.80/x
  3. Step 3: Cross multiply
    192,298.40x = 288,447.60 × 171,408.80
  4. Step 4: Simplify right side
    192,298.40x = 49,442,456,978.88
  5. Step 5: Solve for x
    x = 49,442,456,978.88/192,298.40
  6. Step 6: Final answer
    x = 257,113.20

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1.5x scale

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.