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Finding the Fourth Proportional to 411,344.40, 615,704.40 and 322,114.80

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Solution

The fourth proportional to 411,344.40, 615,704.40 and 322,114.80 is: 482,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,344.40 : 615,704.40 = 322,114.80 : x
  2. Step 2: Convert to fraction form
    411,344.40/615,704.40 = 322,114.80/x
  3. Step 3: Cross multiply
    411,344.40x = 615,704.40 × 322,114.80
  4. Step 4: Simplify right side
    411,344.40x = 198,327,499,665.12
  5. Step 5: Solve for x
    x = 198,327,499,665.12/411,344.40
  6. Step 6: Final answer
    x = 482,144.64

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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.