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Finding the Fourth Proportional to 278,049.36, 417,132.36 and 120,300.24

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Solution

The fourth proportional to 278,049.36, 417,132.36 and 120,300.24 is: 180,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,049.36 : 417,132.36 = 120,300.24 : x
  2. Step 2: Convert to fraction form
    278,049.36/417,132.36 = 120,300.24/x
  3. Step 3: Cross multiply
    278,049.36x = 417,132.36 × 120,300.24
  4. Step 4: Simplify right side
    278,049.36x = 50,181,123,019.77
  5. Step 5: Solve for x
    x = 50,181,123,019.77/278,049.36
  6. Step 6: Final answer
    x = 180,475.59

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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.