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Finding the Fourth Proportional to 320,144.08, 480,249.60 and 109,798.96

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Solution

The fourth proportional to 320,144.08, 480,249.60 and 109,798.96 is: 164,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,144.08 : 480,249.60 = 109,798.96 : x
  2. Step 2: Convert to fraction form
    320,144.08/480,249.60 = 109,798.96/x
  3. Step 3: Cross multiply
    320,144.08x = 480,249.60 × 109,798.96
  4. Step 4: Simplify right side
    320,144.08x = 52,730,906,620.42
  5. Step 5: Solve for x
    x = 52,730,906,620.42/320,144.08
  6. Step 6: Final answer
    x = 164,709.92

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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.