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Finding the Fourth Proportional to 275,410.94, 412,784.24 and 142,218.59

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Solution

The fourth proportional to 275,410.94, 412,784.24 and 142,218.59 is: 213,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,410.94 : 412,784.24 = 142,218.59 : x
  2. Step 2: Convert to fraction form
    275,410.94/412,784.24 = 142,218.59/x
  3. Step 3: Cross multiply
    275,410.94x = 412,784.24 × 142,218.59
  4. Step 4: Simplify right side
    275,410.94x = 58,705,589,812.01
  5. Step 5: Solve for x
    x = 58,705,589,812.01/275,410.94
  6. Step 6: Final answer
    x = 213,156.35

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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.