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Finding the Fourth Proportional to 280,704.69, 387,372.06 and 159,846

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Solution

The fourth proportional to 280,704.69, 387,372.06 and 159,846 is: 220,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,704.69 : 387,372.06 = 159,846 : x
  2. Step 2: Convert to fraction form
    280,704.69/387,372.06 = 159,846/x
  3. Step 3: Cross multiply
    280,704.69x = 387,372.06 × 159,846
  4. Step 4: Simplify right side
    280,704.69x = 61,919,874,302.76
  5. Step 5: Solve for x
    x = 61,919,874,302.76/280,704.69
  6. Step 6: Final answer
    x = 220,587.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.