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Finding the Fourth Proportional to 416,364, 624,563.28 and 120,876

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Solution

The fourth proportional to 416,364, 624,563.28 and 120,876 is: 181,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,364 : 624,563.28 = 120,876 : x
  2. Step 2: Convert to fraction form
    416,364/624,563.28 = 120,876/x
  3. Step 3: Cross multiply
    416,364x = 624,563.28 × 120,876
  4. Step 4: Simplify right side
    416,364x = 75,494,711,033.28
  5. Step 5: Solve for x
    x = 75,494,711,033.28/416,364
  6. Step 6: Final answer
    x = 181,319.02

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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.