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Finding the Fourth Proportional to 381,388.60, 571,573.38 and 201,106.36

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Solution

The fourth proportional to 381,388.60, 571,573.38 and 201,106.36 is: 301,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,388.60 : 571,573.38 = 201,106.36 : x
  2. Step 2: Convert to fraction form
    381,388.60/571,573.38 = 201,106.36/x
  3. Step 3: Cross multiply
    381,388.60x = 571,573.38 × 201,106.36
  4. Step 4: Simplify right side
    381,388.60x = 114,947,041,924.70
  5. Step 5: Solve for x
    x = 114,947,041,924.70/381,388.60
  6. Step 6: Final answer
    x = 301,390.87

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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.