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Finding the Fourth Proportional to 278,178.56, 417,083.50 and 100,662.48

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Solution

The fourth proportional to 278,178.56, 417,083.50 and 100,662.48 is: 150,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,178.56 : 417,083.50 = 100,662.48 : x
  2. Step 2: Convert to fraction form
    278,178.56/417,083.50 = 100,662.48/x
  3. Step 3: Cross multiply
    278,178.56x = 417,083.50 × 100,662.48
  4. Step 4: Simplify right side
    278,178.56x = 41,984,659,477.08
  5. Step 5: Solve for x
    x = 41,984,659,477.08/278,178.56
  6. Step 6: Final answer
    x = 150,927.01

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1.5x scale

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.