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Finding the Fourth Proportional to 321,548.90, 482,392.47 and 108,338

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Solution

The fourth proportional to 321,548.90, 482,392.47 and 108,338 is: 162,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,548.90 : 482,392.47 = 108,338 : x
  2. Step 2: Convert to fraction form
    321,548.90/482,392.47 = 108,338/x
  3. Step 3: Cross multiply
    321,548.90x = 482,392.47 × 108,338
  4. Step 4: Simplify right side
    321,548.90x = 52,261,435,414.86
  5. Step 5: Solve for x
    x = 52,261,435,414.86/321,548.90
  6. Step 6: Final answer
    x = 162,530.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.