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Finding the Fourth Proportional to 321,658.01, 443,941.29 and 178,464.18

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Solution

The fourth proportional to 321,658.01, 443,941.29 and 178,464.18 is: 246,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,658.01 : 443,941.29 = 178,464.18 : x
  2. Step 2: Convert to fraction form
    321,658.01/443,941.29 = 178,464.18/x
  3. Step 3: Cross multiply
    321,658.01x = 443,941.29 × 178,464.18
  4. Step 4: Simplify right side
    321,658.01x = 79,227,619,952.77
  5. Step 5: Solve for x
    x = 79,227,619,952.77/321,658.01
  6. Step 6: Final answer
    x = 246,310.11

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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.