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Finding the Fourth Proportional to 354,138.50, 488,711.14 and 195,162.50

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Solution

The fourth proportional to 354,138.50, 488,711.14 and 195,162.50 is: 269,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,138.50 : 488,711.14 = 195,162.50 : x
  2. Step 2: Convert to fraction form
    354,138.50/488,711.14 = 195,162.50/x
  3. Step 3: Cross multiply
    354,138.50x = 488,711.14 × 195,162.50
  4. Step 4: Simplify right side
    354,138.50x = 95,378,087,860.25
  5. Step 5: Solve for x
    x = 95,378,087,860.25/354,138.50
  6. Step 6: Final answer
    x = 269,324.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.