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Finding the Fourth Proportional to 321,570.23, 443,767.94 and 178,343.51

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Solution

The fourth proportional to 321,570.23, 443,767.94 and 178,343.51 is: 246,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,570.23 : 443,767.94 = 178,343.51 : x
  2. Step 2: Convert to fraction form
    321,570.23/443,767.94 = 178,343.51/x
  3. Step 3: Cross multiply
    321,570.23x = 443,767.94 × 178,343.51
  4. Step 4: Simplify right side
    321,570.23x = 79,143,132,045.07
  5. Step 5: Solve for x
    x = 79,143,132,045.07/321,570.23
  6. Step 6: Final answer
    x = 246,114.61

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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.