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Finding the Fourth Proportional to 324,064.80, 486,097.20 and 272,743.20

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Solution

The fourth proportional to 324,064.80, 486,097.20 and 272,743.20 is: 409,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,064.80 : 486,097.20 = 272,743.20 : x
  2. Step 2: Convert to fraction form
    324,064.80/486,097.20 = 272,743.20/x
  3. Step 3: Cross multiply
    324,064.80x = 486,097.20 × 272,743.20
  4. Step 4: Simplify right side
    324,064.80x = 132,579,705,839.04
  5. Step 5: Solve for x
    x = 132,579,705,839.04/324,064.80
  6. Step 6: Final answer
    x = 409,114.80

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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.