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Finding the Fourth Proportional to 321,197.83, 443,247.26 and 177,955

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Solution

The fourth proportional to 321,197.83, 443,247.26 and 177,955 is: 245,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,197.83 : 443,247.26 = 177,955 : x
  2. Step 2: Convert to fraction form
    321,197.83/443,247.26 = 177,955/x
  3. Step 3: Cross multiply
    321,197.83x = 443,247.26 × 177,955
  4. Step 4: Simplify right side
    321,197.83x = 78,878,066,153.30
  5. Step 5: Solve for x
    x = 78,878,066,153.30/321,197.83
  6. Step 6: Final answer
    x = 245,574.72

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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.