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Finding the Fourth Proportional to 321,548.14, 482,439.21 and 111,207.34

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Solution

The fourth proportional to 321,548.14, 482,439.21 and 111,207.34 is: 166,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,548.14 : 482,439.21 = 111,207.34 : x
  2. Step 2: Convert to fraction form
    321,548.14/482,439.21 = 111,207.34/x
  3. Step 3: Cross multiply
    321,548.14x = 482,439.21 × 111,207.34
  4. Step 4: Simplify right side
    321,548.14x = 53,650,781,255.80
  5. Step 5: Solve for x
    x = 53,650,781,255.80/321,548.14
  6. Step 6: Final answer
    x = 166,851.47

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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.