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Finding the Fourth Proportional to 324,729.80, 486,864.30 and 147,321.80

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Solution

The fourth proportional to 324,729.80, 486,864.30 and 147,321.80 is: 220,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,729.80 : 486,864.30 = 147,321.80 : x
  2. Step 2: Convert to fraction form
    324,729.80/486,864.30 = 147,321.80/x
  3. Step 3: Cross multiply
    324,729.80x = 486,864.30 × 147,321.80
  4. Step 4: Simplify right side
    324,729.80x = 71,725,725,031.74
  5. Step 5: Solve for x
    x = 71,725,725,031.74/324,729.80
  6. Step 6: Final answer
    x = 220,878.17

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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.