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Finding the Fourth Proportional to 274,219.88, 411,288.10 and 105,715.62

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Solution

The fourth proportional to 274,219.88, 411,288.10 and 105,715.62 is: 158,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,219.88 : 411,288.10 = 105,715.62 : x
  2. Step 2: Convert to fraction form
    274,219.88/411,288.10 = 105,715.62/x
  3. Step 3: Cross multiply
    274,219.88x = 411,288.10 × 105,715.62
  4. Step 4: Simplify right side
    274,219.88x = 43,479,576,490.12
  5. Step 5: Solve for x
    x = 43,479,576,490.12/274,219.88
  6. Step 6: Final answer
    x = 158,557.35

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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.