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Finding the Fourth Proportional to 321,129.56, 443,185.80 and 177,902.93

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Solution

The fourth proportional to 321,129.56, 443,185.80 and 177,902.93 is: 245,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,129.56 : 443,185.80 = 177,902.93 : x
  2. Step 2: Convert to fraction form
    321,129.56/443,185.80 = 177,902.93/x
  3. Step 3: Cross multiply
    321,129.56x = 443,185.80 × 177,902.93
  4. Step 4: Simplify right side
    321,129.56x = 78,844,050,138.47
  5. Step 5: Solve for x
    x = 78,844,050,138.47/321,129.56
  6. Step 6: Final answer
    x = 245,521.00

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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.