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Finding the Fourth Proportional to 278,840.37, 417,917.92 and 128,877.78

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Solution

The fourth proportional to 278,840.37, 417,917.92 and 128,877.78 is: 193,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,840.37 : 417,917.92 = 128,877.78 : x
  2. Step 2: Convert to fraction form
    278,840.37/417,917.92 = 128,877.78/x
  3. Step 3: Cross multiply
    278,840.37x = 417,917.92 × 128,877.78
  4. Step 4: Simplify right side
    278,840.37x = 53,860,333,751.82
  5. Step 5: Solve for x
    x = 53,860,333,751.82/278,840.37
  6. Step 6: Final answer
    x = 193,158.31

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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.