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Finding the Fourth Proportional to 322,509.90, 445,069 and 177,321.82

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Solution

The fourth proportional to 322,509.90, 445,069 and 177,321.82 is: 244,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,509.90 : 445,069 = 177,321.82 : x
  2. Step 2: Convert to fraction form
    322,509.90/445,069 = 177,321.82/x
  3. Step 3: Cross multiply
    322,509.90x = 445,069 × 177,321.82
  4. Step 4: Simplify right side
    322,509.90x = 78,920,445,105.58
  5. Step 5: Solve for x
    x = 78,920,445,105.58/322,509.90
  6. Step 6: Final answer
    x = 244,707.05

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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.