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Finding the Fourth Proportional to 321,549.48, 443,763.36 and 178,337.52

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Solution

The fourth proportional to 321,549.48, 443,763.36 and 178,337.52 is: 246,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,549.48 : 443,763.36 = 178,337.52 : x
  2. Step 2: Convert to fraction form
    321,549.48/443,763.36 = 178,337.52/x
  3. Step 3: Cross multiply
    321,549.48x = 443,763.36 × 178,337.52
  4. Step 4: Simplify right side
    321,549.48x = 79,139,657,089.27
  5. Step 5: Solve for x
    x = 79,139,657,089.27/321,549.48
  6. Step 6: Final answer
    x = 246,119.69

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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.