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Finding the Fourth Proportional to 413,723.70, 620,144.10 and 235,847.70

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Solution

The fourth proportional to 413,723.70, 620,144.10 and 235,847.70 is: 353,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,723.70 : 620,144.10 = 235,847.70 : x
  2. Step 2: Convert to fraction form
    413,723.70/620,144.10 = 235,847.70/x
  3. Step 3: Cross multiply
    413,723.70x = 620,144.10 × 235,847.70
  4. Step 4: Simplify right side
    413,723.70x = 146,259,559,653.57
  5. Step 5: Solve for x
    x = 146,259,559,653.57/413,723.70
  6. Step 6: Final answer
    x = 353,519.90

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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.