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Finding the Fourth Proportional to 321,403.48, 443,529.72 and 178,162.28

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Solution

The fourth proportional to 321,403.48, 443,529.72 and 178,162.28 is: 245,860.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,403.48 : 443,529.72 = 178,162.28 : x
  2. Step 2: Convert to fraction form
    321,403.48/443,529.72 = 178,162.28/x
  3. Step 3: Cross multiply
    321,403.48x = 443,529.72 × 178,162.28
  4. Step 4: Simplify right side
    321,403.48x = 79,020,266,162.96
  5. Step 5: Solve for x
    x = 79,020,266,162.96/321,403.48
  6. Step 6: Final answer
    x = 245,860.02

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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.