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Finding the Fourth Proportional to 321,271.34, 443,357.07 and 178,033.78

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Solution

The fourth proportional to 321,271.34, 443,357.07 and 178,033.78 is: 245,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,271.34 : 443,357.07 = 178,033.78 : x
  2. Step 2: Convert to fraction form
    321,271.34/443,357.07 = 178,033.78/x
  3. Step 3: Cross multiply
    321,271.34x = 443,357.07 × 178,033.78
  4. Step 4: Simplify right side
    321,271.34x = 78,932,535,061.82
  5. Step 5: Solve for x
    x = 78,932,535,061.82/321,271.34
  6. Step 6: Final answer
    x = 245,688.07

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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.