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Finding the Fourth Proportional to 355,781.57, 491,000.33 and 204,927.17

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Solution

The fourth proportional to 355,781.57, 491,000.33 and 204,927.17 is: 282,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,781.57 : 491,000.33 = 204,927.17 : x
  2. Step 2: Convert to fraction form
    355,781.57/491,000.33 = 204,927.17/x
  3. Step 3: Cross multiply
    355,781.57x = 491,000.33 × 204,927.17
  4. Step 4: Simplify right side
    355,781.57x = 100,619,306,153.28
  5. Step 5: Solve for x
    x = 100,619,306,153.28/355,781.57
  6. Step 6: Final answer
    x = 282,812.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.