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Finding the Fourth Proportional to 290,138.20, 434,624.10 and 195,659.80

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Solution

The fourth proportional to 290,138.20, 434,624.10 and 195,659.80 is: 293,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,138.20 : 434,624.10 = 195,659.80 : x
  2. Step 2: Convert to fraction form
    290,138.20/434,624.10 = 195,659.80/x
  3. Step 3: Cross multiply
    290,138.20x = 434,624.10 × 195,659.80
  4. Step 4: Simplify right side
    290,138.20x = 85,038,464,481.18
  5. Step 5: Solve for x
    x = 85,038,464,481.18/290,138.20
  6. Step 6: Final answer
    x = 293,096.41

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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.