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Finding the Fourth Proportional to 517,760.44, 776,650.41 and 143,793.16

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Solution

The fourth proportional to 517,760.44, 776,650.41 and 143,793.16 is: 215,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,760.44 : 776,650.41 = 143,793.16 : x
  2. Step 2: Convert to fraction form
    517,760.44/776,650.41 = 143,793.16/x
  3. Step 3: Cross multiply
    517,760.44x = 776,650.41 × 143,793.16
  4. Step 4: Simplify right side
    517,760.44x = 111,677,014,727.57
  5. Step 5: Solve for x
    x = 111,677,014,727.57/517,760.44
  6. Step 6: Final answer
    x = 215,692.45

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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.