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Finding the Fourth Proportional to 278,178.59, 417,083.52 and 100,662.50

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Solution

The fourth proportional to 278,178.59, 417,083.52 and 100,662.50 is: 150,927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,178.59 : 417,083.52 = 100,662.50 : x
  2. Step 2: Convert to fraction form
    278,178.59/417,083.52 = 100,662.50/x
  3. Step 3: Cross multiply
    278,178.59x = 417,083.52 × 100,662.50
  4. Step 4: Simplify right side
    278,178.59x = 41,984,669,832
  5. Step 5: Solve for x
    x = 41,984,669,832/278,178.59
  6. Step 6: Final answer
    x = 150,927.04

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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.