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Finding the Fourth Proportional to 324,532.80, 486,799.20 and 312,091.20

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Solution

The fourth proportional to 324,532.80, 486,799.20 and 312,091.20 is: 468,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,532.80 : 486,799.20 = 312,091.20 : x
  2. Step 2: Convert to fraction form
    324,532.80/486,799.20 = 312,091.20/x
  3. Step 3: Cross multiply
    324,532.80x = 486,799.20 × 312,091.20
  4. Step 4: Simplify right side
    324,532.80x = 151,925,746,487.04
  5. Step 5: Solve for x
    x = 151,925,746,487.04/324,532.80
  6. Step 6: Final answer
    x = 468,136.80

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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.