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Finding the Fourth Proportional to 278,387.50, 384,175.77 and 151,063.09

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Solution

The fourth proportional to 278,387.50, 384,175.77 and 151,063.09 is: 208,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,387.50 : 384,175.77 = 151,063.09 : x
  2. Step 2: Convert to fraction form
    278,387.50/384,175.77 = 151,063.09/x
  3. Step 3: Cross multiply
    278,387.50x = 384,175.77 × 151,063.09
  4. Step 4: Simplify right side
    278,387.50x = 58,034,776,243.14
  5. Step 5: Solve for x
    x = 58,034,776,243.14/278,387.50
  6. Step 6: Final answer
    x = 208,467.61

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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.