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Finding the Fourth Proportional to 416,355, 624,549.78 and 120,867

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Solution

The fourth proportional to 416,355, 624,549.78 and 120,867 is: 181,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,355 : 624,549.78 = 120,867 : x
  2. Step 2: Convert to fraction form
    416,355/624,549.78 = 120,867/x
  3. Step 3: Cross multiply
    416,355x = 624,549.78 × 120,867
  4. Step 4: Simplify right side
    416,355x = 75,487,458,259.26
  5. Step 5: Solve for x
    x = 75,487,458,259.26/416,355
  6. Step 6: Final answer
    x = 181,305.52

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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.