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Finding the Fourth Proportional to 321,582.81, 443,773.10 and 178,356.18

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Solution

The fourth proportional to 321,582.81, 443,773.10 and 178,356.18 is: 246,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,582.81 : 443,773.10 = 178,356.18 : x
  2. Step 2: Convert to fraction form
    321,582.81/443,773.10 = 178,356.18/x
  3. Step 3: Cross multiply
    321,582.81x = 443,773.10 × 178,356.18
  4. Step 4: Simplify right side
    321,582.81x = 79,149,675,348.65
  5. Step 5: Solve for x
    x = 79,149,675,348.65/321,582.81
  6. Step 6: Final answer
    x = 246,125.33

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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.