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Finding the Fourth Proportional to 425,429.24, 638,391.92 and 159,376.64

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Solution

The fourth proportional to 425,429.24, 638,391.92 and 159,376.64 is: 239,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,429.24 : 638,391.92 = 159,376.64 : x
  2. Step 2: Convert to fraction form
    425,429.24/638,391.92 = 159,376.64/x
  3. Step 3: Cross multiply
    425,429.24x = 638,391.92 × 159,376.64
  4. Step 4: Simplify right side
    425,429.24x = 101,744,759,212.75
  5. Step 5: Solve for x
    x = 101,744,759,212.75/425,429.24
  6. Step 6: Final answer
    x = 239,157.89

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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.