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Finding the Fourth Proportional to 416,357, 624,552.78 and 120,869

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Solution

The fourth proportional to 416,357, 624,552.78 and 120,869 is: 181,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,357 : 624,552.78 = 120,869 : x
  2. Step 2: Convert to fraction form
    416,357/624,552.78 = 120,869/x
  3. Step 3: Cross multiply
    416,357x = 624,552.78 × 120,869
  4. Step 4: Simplify right side
    416,357x = 75,489,069,965.82
  5. Step 5: Solve for x
    x = 75,489,069,965.82/416,357
  6. Step 6: Final answer
    x = 181,308.52

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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.