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Finding the Fourth Proportional to 384,608.20, 576,912.72 and 100,298.51

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Solution

The fourth proportional to 384,608.20, 576,912.72 and 100,298.51 is: 150,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,608.20 : 576,912.72 = 100,298.51 : x
  2. Step 2: Convert to fraction form
    384,608.20/576,912.72 = 100,298.51/x
  3. Step 3: Cross multiply
    384,608.20x = 576,912.72 × 100,298.51
  4. Step 4: Simplify right side
    384,608.20x = 57,863,486,216.05
  5. Step 5: Solve for x
    x = 57,863,486,216.05/384,608.20
  6. Step 6: Final answer
    x = 150,447.87

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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.