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Finding the Fourth Proportional to 416,484, 624,743.28 and 120,996

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Solution

The fourth proportional to 416,484, 624,743.28 and 120,996 is: 181,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,484 : 624,743.28 = 120,996 : x
  2. Step 2: Convert to fraction form
    416,484/624,743.28 = 120,996/x
  3. Step 3: Cross multiply
    416,484x = 624,743.28 × 120,996
  4. Step 4: Simplify right side
    416,484x = 75,591,437,906.88
  5. Step 5: Solve for x
    x = 75,591,437,906.88/416,484
  6. Step 6: Final answer
    x = 181,499.02

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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.