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Finding the Fourth Proportional to 275,709.80, 413,046.30 and 142,135.40

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Solution

The fourth proportional to 275,709.80, 413,046.30 and 142,135.40 is: 212,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,709.80 : 413,046.30 = 142,135.40 : x
  2. Step 2: Convert to fraction form
    275,709.80/413,046.30 = 142,135.40/x
  3. Step 3: Cross multiply
    275,709.80x = 413,046.30 × 142,135.40
  4. Step 4: Simplify right side
    275,709.80x = 58,708,501,069.02
  5. Step 5: Solve for x
    x = 58,708,501,069.02/275,709.80
  6. Step 6: Final answer
    x = 212,935.85

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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.