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Finding the Fourth Proportional to 329,868.60, 494,414.10 and 140,328.60

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Solution

The fourth proportional to 329,868.60, 494,414.10 and 140,328.60 is: 210,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,868.60 : 494,414.10 = 140,328.60 : x
  2. Step 2: Convert to fraction form
    329,868.60/494,414.10 = 140,328.60/x
  3. Step 3: Cross multiply
    329,868.60x = 494,414.10 × 140,328.60
  4. Step 4: Simplify right side
    329,868.60x = 69,380,438,473.26
  5. Step 5: Solve for x
    x = 69,380,438,473.26/329,868.60
  6. Step 6: Final answer
    x = 210,327.50

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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.