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Finding the Fourth Proportional to 321,155.22, 443,161.96 and 177,888.50

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Solution

The fourth proportional to 321,155.22, 443,161.96 and 177,888.50 is: 245,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,155.22 : 443,161.96 = 177,888.50 : x
  2. Step 2: Convert to fraction form
    321,155.22/443,161.96 = 177,888.50/x
  3. Step 3: Cross multiply
    321,155.22x = 443,161.96 × 177,888.50
  4. Step 4: Simplify right side
    321,155.22x = 78,833,413,660.93
  5. Step 5: Solve for x
    x = 78,833,413,660.93/321,155.22
  6. Step 6: Final answer
    x = 245,468.26

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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.