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Finding the Fourth Proportional to 321,449.96, 482,168.54 and 99,833.32

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Solution

The fourth proportional to 321,449.96, 482,168.54 and 99,833.32 is: 149,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,449.96 : 482,168.54 = 99,833.32 : x
  2. Step 2: Convert to fraction form
    321,449.96/482,168.54 = 99,833.32/x
  3. Step 3: Cross multiply
    321,449.96x = 482,168.54 × 99,833.32
  4. Step 4: Simplify right side
    321,449.96x = 48,136,486,147.75
  5. Step 5: Solve for x
    x = 48,136,486,147.75/321,449.96
  6. Step 6: Final answer
    x = 149,747.99

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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.