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Finding the Fourth Proportional to 321,586.38, 443,778 and 178,359.75

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Solution

The fourth proportional to 321,586.38, 443,778 and 178,359.75 is: 246,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,586.38 : 443,778 = 178,359.75 : x
  2. Step 2: Convert to fraction form
    321,586.38/443,778 = 178,359.75/x
  3. Step 3: Cross multiply
    321,586.38x = 443,778 × 178,359.75
  4. Step 4: Simplify right side
    321,586.38x = 79,152,133,135.50
  5. Step 5: Solve for x
    x = 79,152,133,135.50/321,586.38
  6. Step 6: Final answer
    x = 246,130.24

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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.