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Finding the Fourth Proportional to 321,391, 443,473.02 and 178,151

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Solution

The fourth proportional to 321,391, 443,473.02 and 178,151 is: 245,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,391 : 443,473.02 = 178,151 : x
  2. Step 2: Convert to fraction form
    321,391/443,473.02 = 178,151/x
  3. Step 3: Cross multiply
    321,391x = 443,473.02 × 178,151
  4. Step 4: Simplify right side
    321,391x = 79,005,161,986.02
  5. Step 5: Solve for x
    x = 79,005,161,986.02/321,391
  6. Step 6: Final answer
    x = 245,822.57

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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.