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Finding the Fourth Proportional to 378,077.83, 567,172.77 and 121,824.54

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Solution

The fourth proportional to 378,077.83, 567,172.77 and 121,824.54 is: 182,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,077.83 : 567,172.77 = 121,824.54 : x
  2. Step 2: Convert to fraction form
    378,077.83/567,172.77 = 121,824.54/x
  3. Step 3: Cross multiply
    378,077.83x = 567,172.77 × 121,824.54
  4. Step 4: Simplify right side
    378,077.83x = 69,095,561,348.93
  5. Step 5: Solve for x
    x = 69,095,561,348.93/378,077.83
  6. Step 6: Final answer
    x = 182,754.86

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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.