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Finding the Fourth Proportional to 321,748.34, 444,006.80 and 178,505.31

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Solution

The fourth proportional to 321,748.34, 444,006.80 and 178,505.31 is: 246,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,748.34 : 444,006.80 = 178,505.31 : x
  2. Step 2: Convert to fraction form
    321,748.34/444,006.80 = 178,505.31/x
  3. Step 3: Cross multiply
    321,748.34x = 444,006.80 × 178,505.31
  4. Step 4: Simplify right side
    321,748.34x = 79,257,571,476.11
  5. Step 5: Solve for x
    x = 79,257,571,476.11/321,748.34
  6. Step 6: Final answer
    x = 246,334.05

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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.