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Finding the Fourth Proportional to 419,353.78, 628,941.34 and 119,754.82

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Solution

The fourth proportional to 419,353.78, 628,941.34 and 119,754.82 is: 179,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,353.78 : 628,941.34 = 119,754.82 : x
  2. Step 2: Convert to fraction form
    419,353.78/628,941.34 = 119,754.82/x
  3. Step 3: Cross multiply
    419,353.78x = 628,941.34 × 119,754.82
  4. Step 4: Simplify right side
    419,353.78x = 75,318,756,962.26
  5. Step 5: Solve for x
    x = 75,318,756,962.26/419,353.78
  6. Step 6: Final answer
    x = 179,606.72

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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.