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Finding the Fourth Proportional to 321,159, 443,163.63 and 177,883.20

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Solution

The fourth proportional to 321,159, 443,163.63 and 177,883.20 is: 245,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,159 : 443,163.63 = 177,883.20 : x
  2. Step 2: Convert to fraction form
    321,159/443,163.63 = 177,883.20/x
  3. Step 3: Cross multiply
    321,159x = 443,163.63 × 177,883.20
  4. Step 4: Simplify right side
    321,159x = 78,831,364,628.02
  5. Step 5: Solve for x
    x = 78,831,364,628.02/321,159
  6. Step 6: Final answer
    x = 245,458.99

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1.5x scale

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.