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Finding the Fourth Proportional to 320,538.96, 480,840.48 and 110,149.20

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Solution

The fourth proportional to 320,538.96, 480,840.48 and 110,149.20 is: 165,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,538.96 : 480,840.48 = 110,149.20 : x
  2. Step 2: Convert to fraction form
    320,538.96/480,840.48 = 110,149.20/x
  3. Step 3: Cross multiply
    320,538.96x = 480,840.48 × 110,149.20
  4. Step 4: Simplify right side
    320,538.96x = 52,964,194,199.62
  5. Step 5: Solve for x
    x = 52,964,194,199.62/320,538.96
  6. Step 6: Final answer
    x = 165,234.81

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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.