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Finding the Fourth Proportional to 322,978.41, 445,248.29 and 227,187.81

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Solution

The fourth proportional to 322,978.41, 445,248.29 and 227,187.81 is: 313,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978.41 : 445,248.29 = 227,187.81 : x
  2. Step 2: Convert to fraction form
    322,978.41/445,248.29 = 227,187.81/x
  3. Step 3: Cross multiply
    322,978.41x = 445,248.29 × 227,187.81
  4. Step 4: Simplify right side
    322,978.41x = 101,154,984,479.31
  5. Step 5: Solve for x
    x = 101,154,984,479.31/322,978.41
  6. Step 6: Final answer
    x = 313,194.26

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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.