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Finding the Fourth Proportional to 319,046.46, 440,280.43 and 181,224.43

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Solution

The fourth proportional to 319,046.46, 440,280.43 and 181,224.43 is: 250,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,046.46 : 440,280.43 = 181,224.43 : x
  2. Step 2: Convert to fraction form
    319,046.46/440,280.43 = 181,224.43/x
  3. Step 3: Cross multiply
    319,046.46x = 440,280.43 × 181,224.43
  4. Step 4: Simplify right side
    319,046.46x = 79,789,569,966.90
  5. Step 5: Solve for x
    x = 79,789,569,966.90/319,046.46
  6. Step 6: Final answer
    x = 250,087.62

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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.