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Finding the Fourth Proportional to 409,902.93, 615,087.68 and 327,321.81

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Solution

The fourth proportional to 409,902.93, 615,087.68 and 327,321.81 is: 491,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,902.93 : 615,087.68 = 327,321.81 : x
  2. Step 2: Convert to fraction form
    409,902.93/615,087.68 = 327,321.81/x
  3. Step 3: Cross multiply
    409,902.93x = 615,087.68 × 327,321.81
  4. Step 4: Simplify right side
    409,902.93x = 201,331,611,089.69
  5. Step 5: Solve for x
    x = 201,331,611,089.69/409,902.93
  6. Step 6: Final answer
    x = 491,169.00

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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.