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Finding the Fourth Proportional to 456,081.42, 684,233.61 and 321,408.21

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Solution

The fourth proportional to 456,081.42, 684,233.61 and 321,408.21 is: 482,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,081.42 : 684,233.61 = 321,408.21 : x
  2. Step 2: Convert to fraction form
    456,081.42/684,233.61 = 321,408.21/x
  3. Step 3: Cross multiply
    456,081.42x = 684,233.61 × 321,408.21
  4. Step 4: Simplify right side
    456,081.42x = 219,918,299,811.94
  5. Step 5: Solve for x
    x = 219,918,299,811.94/456,081.42
  6. Step 6: Final answer
    x = 482,190.88

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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.