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Finding the Fourth Proportional to 416,388, 624,599.28 and 120,900

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Solution

The fourth proportional to 416,388, 624,599.28 and 120,900 is: 181,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,388 : 624,599.28 = 120,900 : x
  2. Step 2: Convert to fraction form
    416,388/624,599.28 = 120,900/x
  3. Step 3: Cross multiply
    416,388x = 624,599.28 × 120,900
  4. Step 4: Simplify right side
    416,388x = 75,514,052,952
  5. Step 5: Solve for x
    x = 75,514,052,952/416,388
  6. Step 6: Final answer
    x = 181,355.02

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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.