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Finding the Fourth Proportional to 321,984, 444,315.65 and 178,732.78

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Solution

The fourth proportional to 321,984, 444,315.65 and 178,732.78 is: 246,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,984 : 444,315.65 = 178,732.78 : x
  2. Step 2: Convert to fraction form
    321,984/444,315.65 = 178,732.78/x
  3. Step 3: Cross multiply
    321,984x = 444,315.65 × 178,732.78
  4. Step 4: Simplify right side
    321,984x = 79,413,769,317.55
  5. Step 5: Solve for x
    x = 79,413,769,317.55/321,984
  6. Step 6: Final answer
    x = 246,638.87

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1.5x scale

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.