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Finding the Fourth Proportional to 393,731.49, 590,117.42 and 204,087.30

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Solution

The fourth proportional to 393,731.49, 590,117.42 and 204,087.30 is: 305,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,731.49 : 590,117.42 = 204,087.30 : x
  2. Step 2: Convert to fraction form
    393,731.49/590,117.42 = 204,087.30/x
  3. Step 3: Cross multiply
    393,731.49x = 590,117.42 × 204,087.30
  4. Step 4: Simplify right side
    393,731.49x = 120,435,471,440.98
  5. Step 5: Solve for x
    x = 120,435,471,440.98/393,731.49
  6. Step 6: Final answer
    x = 305,882.24

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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.