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Finding the Fourth Proportional to 393,728.82, 590,113.42 and 204,084.63

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Solution

The fourth proportional to 393,728.82, 590,113.42 and 204,084.63 is: 305,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,728.82 : 590,113.42 = 204,084.63 : x
  2. Step 2: Convert to fraction form
    393,728.82/590,113.42 = 204,084.63/x
  3. Step 3: Cross multiply
    393,728.82x = 590,113.42 × 204,084.63
  4. Step 4: Simplify right side
    393,728.82x = 120,433,078,468.52
  5. Step 5: Solve for x
    x = 120,433,078,468.52/393,728.82
  6. Step 6: Final answer
    x = 305,878.24

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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.