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Finding the Fourth Proportional to 400,212.46, 600,274.29 and 100,693.09

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Solution

The fourth proportional to 400,212.46, 600,274.29 and 100,693.09 is: 151,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,212.46 : 600,274.29 = 100,693.09 : x
  2. Step 2: Convert to fraction form
    400,212.46/600,274.29 = 100,693.09/x
  3. Step 3: Cross multiply
    400,212.46x = 600,274.29 × 100,693.09
  4. Step 4: Simplify right side
    400,212.46x = 60,443,474,235.60
  5. Step 5: Solve for x
    x = 60,443,474,235.60/400,212.46
  6. Step 6: Final answer
    x = 151,028.47

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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.