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Finding the Fourth Proportional to 278,177.56, 417,082 and 100,661.48

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Solution

The fourth proportional to 278,177.56, 417,082 and 100,661.48 is: 150,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,177.56 : 417,082 = 100,661.48 : x
  2. Step 2: Convert to fraction form
    278,177.56/417,082 = 100,661.48/x
  3. Step 3: Cross multiply
    278,177.56x = 417,082 × 100,661.48
  4. Step 4: Simplify right side
    278,177.56x = 41,984,091,401.36
  5. Step 5: Solve for x
    x = 41,984,091,401.36/278,177.56
  6. Step 6: Final answer
    x = 150,925.51

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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.