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Finding the Fourth Proportional to 275,772.98, 413,309.55 and 142,628.42

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Solution

The fourth proportional to 275,772.98, 413,309.55 and 142,628.42 is: 213,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,772.98 : 413,309.55 = 142,628.42 : x
  2. Step 2: Convert to fraction form
    275,772.98/413,309.55 = 142,628.42/x
  3. Step 3: Cross multiply
    275,772.98x = 413,309.55 × 142,628.42
  4. Step 4: Simplify right side
    275,772.98x = 58,949,688,087.41
  5. Step 5: Solve for x
    x = 58,949,688,087.41/275,772.98
  6. Step 6: Final answer
    x = 213,761.65

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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.