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Finding the Fourth Proportional to 279,628.20, 419,442.30 and 122,164.20

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Solution

The fourth proportional to 279,628.20, 419,442.30 and 122,164.20 is: 183,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,628.20 : 419,442.30 = 122,164.20 : x
  2. Step 2: Convert to fraction form
    279,628.20/419,442.30 = 122,164.20/x
  3. Step 3: Cross multiply
    279,628.20x = 419,442.30 × 122,164.20
  4. Step 4: Simplify right side
    279,628.20x = 51,240,833,025.66
  5. Step 5: Solve for x
    x = 51,240,833,025.66/279,628.20
  6. Step 6: Final answer
    x = 183,246.30

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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.