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Finding the Fourth Proportional to 321,393.48, 443,515.95 and 178,152.27

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Solution

The fourth proportional to 321,393.48, 443,515.95 and 178,152.27 is: 245,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,393.48 : 443,515.95 = 178,152.27 : x
  2. Step 2: Convert to fraction form
    321,393.48/443,515.95 = 178,152.27/x
  3. Step 3: Cross multiply
    321,393.48x = 443,515.95 × 178,152.27
  4. Step 4: Simplify right side
    321,393.48x = 79,013,373,273.71
  5. Step 5: Solve for x
    x = 79,013,373,273.71/321,393.48
  6. Step 6: Final answer
    x = 245,846.22

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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.