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Finding the Fourth Proportional to 381,305.21, 571,604.64 and 141,285.37

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Solution

The fourth proportional to 381,305.21, 571,604.64 and 141,285.37 is: 211,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,305.21 : 571,604.64 = 141,285.37 : x
  2. Step 2: Convert to fraction form
    381,305.21/571,604.64 = 141,285.37/x
  3. Step 3: Cross multiply
    381,305.21x = 571,604.64 × 141,285.37
  4. Step 4: Simplify right side
    381,305.21x = 80,759,373,056.12
  5. Step 5: Solve for x
    x = 80,759,373,056.12/381,305.21
  6. Step 6: Final answer
    x = 211,797.20

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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.