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Finding the Fourth Proportional to 219,805.70, 329,708.55 and 199,138.55

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Solution

The fourth proportional to 219,805.70, 329,708.55 and 199,138.55 is: 298,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,805.70 : 329,708.55 = 199,138.55 : x
  2. Step 2: Convert to fraction form
    219,805.70/329,708.55 = 199,138.55/x
  3. Step 3: Cross multiply
    219,805.70x = 329,708.55 × 199,138.55
  4. Step 4: Simplify right side
    219,805.70x = 65,657,682,569.60
  5. Step 5: Solve for x
    x = 65,657,682,569.60/219,805.70
  6. Step 6: Final answer
    x = 298,707.83

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1.5x scale

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.