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Finding the Fourth Proportional to 425,410.56, 638,226.54 and 159,191.64

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Solution

The fourth proportional to 425,410.56, 638,226.54 and 159,191.64 is: 238,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,410.56 : 638,226.54 = 159,191.64 : x
  2. Step 2: Convert to fraction form
    425,410.56/638,226.54 = 159,191.64/x
  3. Step 3: Cross multiply
    425,410.56x = 638,226.54 × 159,191.64
  4. Step 4: Simplify right side
    425,410.56x = 101,600,329,594.13
  5. Step 5: Solve for x
    x = 101,600,329,594.13/425,410.56
  6. Step 6: Final answer
    x = 238,828.88

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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.