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Finding the Fourth Proportional to 320,291.44, 480,103.16 and 120,474.16

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Solution

The fourth proportional to 320,291.44, 480,103.16 and 120,474.16 is: 180,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,291.44 : 480,103.16 = 120,474.16 : x
  2. Step 2: Convert to fraction form
    320,291.44/480,103.16 = 120,474.16/x
  3. Step 3: Cross multiply
    320,291.44x = 480,103.16 × 120,474.16
  4. Step 4: Simplify right side
    320,291.44x = 57,840,024,914.35
  5. Step 5: Solve for x
    x = 57,840,024,914.35/320,291.44
  6. Step 6: Final answer
    x = 180,585.61

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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.