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Finding the Fourth Proportional to 416,353, 624,546.78 and 120,865

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Solution

The fourth proportional to 416,353, 624,546.78 and 120,865 is: 181,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,353 : 624,546.78 = 120,865 : x
  2. Step 2: Convert to fraction form
    416,353/624,546.78 = 120,865/x
  3. Step 3: Cross multiply
    416,353x = 624,546.78 × 120,865
  4. Step 4: Simplify right side
    416,353x = 75,485,846,564.70
  5. Step 5: Solve for x
    x = 75,485,846,564.70/416,353
  6. Step 6: Final answer
    x = 181,302.52

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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.