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Finding the Fourth Proportional to 425,446.56, 638,280.54 and 159,228

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Solution

The fourth proportional to 425,446.56, 638,280.54 and 159,228 is: 238,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,446.56 : 638,280.54 = 159,228 : x
  2. Step 2: Convert to fraction form
    425,446.56/638,280.54 = 159,228/x
  3. Step 3: Cross multiply
    425,446.56x = 638,280.54 × 159,228
  4. Step 4: Simplify right side
    425,446.56x = 101,632,133,823.12
  5. Step 5: Solve for x
    x = 101,632,133,823.12/425,446.56
  6. Step 6: Final answer
    x = 238,883.43

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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.