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Finding the Fourth Proportional to 278,500, 384,330.68 and 151,175.56

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Solution

The fourth proportional to 278,500, 384,330.68 and 151,175.56 is: 208,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,500 : 384,330.68 = 151,175.56 : x
  2. Step 2: Convert to fraction form
    278,500/384,330.68 = 151,175.56/x
  3. Step 3: Cross multiply
    278,500x = 384,330.68 × 151,175.56
  4. Step 4: Simplify right side
    278,500x = 58,101,405,018.30
  5. Step 5: Solve for x
    x = 58,101,405,018.30/278,500
  6. Step 6: Final answer
    x = 208,622.64

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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.