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Finding the Fourth Proportional to 324,314, 486,517.52 and 99,693.30

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Solution

The fourth proportional to 324,314, 486,517.52 and 99,693.30 is: 149,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,314 : 486,517.52 = 99,693.30 : x
  2. Step 2: Convert to fraction form
    324,314/486,517.52 = 99,693.30/x
  3. Step 3: Cross multiply
    324,314x = 486,517.52 × 99,693.30
  4. Step 4: Simplify right side
    324,314x = 48,502,536,578.15
  5. Step 5: Solve for x
    x = 48,502,536,578.15/324,314
  6. Step 6: Final answer
    x = 149,554.25

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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.