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Finding the Fourth Proportional to 410,200.72, 615,297.43 and 143,898.85

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Solution

The fourth proportional to 410,200.72, 615,297.43 and 143,898.85 is: 215,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,200.72 : 615,297.43 = 143,898.85 : x
  2. Step 2: Convert to fraction form
    410,200.72/615,297.43 = 143,898.85/x
  3. Step 3: Cross multiply
    410,200.72x = 615,297.43 × 143,898.85
  4. Step 4: Simplify right side
    410,200.72x = 88,540,592,584.96
  5. Step 5: Solve for x
    x = 88,540,592,584.96/410,200.72
  6. Step 6: Final answer
    x = 215,846.99

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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.