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Finding the Fourth Proportional to 353,149.40, 529,724.10 and 329,648.60

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Solution

The fourth proportional to 353,149.40, 529,724.10 and 329,648.60 is: 494,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,149.40 : 529,724.10 = 329,648.60 : x
  2. Step 2: Convert to fraction form
    353,149.40/529,724.10 = 329,648.60/x
  3. Step 3: Cross multiply
    353,149.40x = 529,724.10 × 329,648.60
  4. Step 4: Simplify right side
    353,149.40x = 174,622,807,951.26
  5. Step 5: Solve for x
    x = 174,622,807,951.26/353,149.40
  6. Step 6: Final answer
    x = 494,472.90

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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.