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Finding the Fourth Proportional to 322,978.66, 445,248.63 and 227,188.06

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Solution

The fourth proportional to 322,978.66, 445,248.63 and 227,188.06 is: 313,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978.66 : 445,248.63 = 227,188.06 : x
  2. Step 2: Convert to fraction form
    322,978.66/445,248.63 = 227,188.06/x
  3. Step 3: Cross multiply
    322,978.66x = 445,248.63 × 227,188.06
  4. Step 4: Simplify right side
    322,978.66x = 101,155,172,467.36
  5. Step 5: Solve for x
    x = 101,155,172,467.36/322,978.66
  6. Step 6: Final answer
    x = 313,194.60

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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.