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Finding the Fourth Proportional to 278,652.10, 417,846.39 and 107,953.78

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Solution

The fourth proportional to 278,652.10, 417,846.39 and 107,953.78 is: 161,879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,652.10 : 417,846.39 = 107,953.78 : x
  2. Step 2: Convert to fraction form
    278,652.10/417,846.39 = 107,953.78/x
  3. Step 3: Cross multiply
    278,652.10x = 417,846.39 × 107,953.78
  4. Step 4: Simplify right side
    278,652.10x = 45,108,097,259.85
  5. Step 5: Solve for x
    x = 45,108,097,259.85/278,652.10
  6. Step 6: Final answer
    x = 161,879.62

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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.