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Finding the Fourth Proportional to 324,872, 486,357.76 and 189,522.20

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Solution

The fourth proportional to 324,872, 486,357.76 and 189,522.20 is: 283,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,872 : 486,357.76 = 189,522.20 : x
  2. Step 2: Convert to fraction form
    324,872/486,357.76 = 189,522.20/x
  3. Step 3: Cross multiply
    324,872x = 486,357.76 × 189,522.20
  4. Step 4: Simplify right side
    324,872x = 92,175,592,662.27
  5. Step 5: Solve for x
    x = 92,175,592,662.27/324,872
  6. Step 6: Final answer
    x = 283,728.95

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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.