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Finding the Fourth Proportional to 381,563.28, 572,355.84 and 101,080.50

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Solution

The fourth proportional to 381,563.28, 572,355.84 and 101,080.50 is: 151,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,563.28 : 572,355.84 = 101,080.50 : x
  2. Step 2: Convert to fraction form
    381,563.28/572,355.84 = 101,080.50/x
  3. Step 3: Cross multiply
    381,563.28x = 572,355.84 × 101,080.50
  4. Step 4: Simplify right side
    381,563.28x = 57,854,014,485.12
  5. Step 5: Solve for x
    x = 57,854,014,485.12/381,563.28
  6. Step 6: Final answer
    x = 151,623.64

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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.