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Finding the Fourth Proportional to 416,390, 624,602.28 and 120,902

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Solution

The fourth proportional to 416,390, 624,602.28 and 120,902 is: 181,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,390 : 624,602.28 = 120,902 : x
  2. Step 2: Convert to fraction form
    416,390/624,602.28 = 120,902/x
  3. Step 3: Cross multiply
    416,390x = 624,602.28 × 120,902
  4. Step 4: Simplify right side
    416,390x = 75,515,664,856.56
  5. Step 5: Solve for x
    x = 75,515,664,856.56/416,390
  6. Step 6: Final answer
    x = 181,358.02

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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.