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Finding the Fourth Proportional to 321,586.30, 443,760.01 and 178,345.90

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Solution

The fourth proportional to 321,586.30, 443,760.01 and 178,345.90 is: 246,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,586.30 : 443,760.01 = 178,345.90 : x
  2. Step 2: Convert to fraction form
    321,586.30/443,760.01 = 178,345.90/x
  3. Step 3: Cross multiply
    321,586.30x = 443,760.01 × 178,345.90
  4. Step 4: Simplify right side
    321,586.30x = 79,142,778,367.46
  5. Step 5: Solve for x
    x = 79,142,778,367.46/321,586.30
  6. Step 6: Final answer
    x = 246,101.21

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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.