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Finding the Fourth Proportional to 381,135.87, 571,790.06 and 128,409.49

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Solution

The fourth proportional to 381,135.87, 571,790.06 and 128,409.49 is: 192,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,135.87 : 571,790.06 = 128,409.49 : x
  2. Step 2: Convert to fraction form
    381,135.87/571,790.06 = 128,409.49/x
  3. Step 3: Cross multiply
    381,135.87x = 571,790.06 × 128,409.49
  4. Step 4: Simplify right side
    381,135.87x = 73,423,269,349.62
  5. Step 5: Solve for x
    x = 73,423,269,349.62/381,135.87
  6. Step 6: Final answer
    x = 192,643.29

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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.