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Finding the Fourth Proportional to 520,081.50, 780,329.21 and 200,147.48

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Solution

The fourth proportional to 520,081.50, 780,329.21 and 200,147.48 is: 300,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,081.50 : 780,329.21 = 200,147.48 : x
  2. Step 2: Convert to fraction form
    520,081.50/780,329.21 = 200,147.48/x
  3. Step 3: Cross multiply
    520,081.50x = 780,329.21 × 200,147.48
  4. Step 4: Simplify right side
    520,081.50x = 156,180,920,049.51
  5. Step 5: Solve for x
    x = 156,180,920,049.51/520,081.50
  6. Step 6: Final answer
    x = 300,300.86

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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.