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Finding the Fourth Proportional to 275,429.70, 413,144.55 and 163,455.30

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Solution

The fourth proportional to 275,429.70, 413,144.55 and 163,455.30 is: 245,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.70 : 413,144.55 = 163,455.30 : x
  2. Step 2: Convert to fraction form
    275,429.70/413,144.55 = 163,455.30/x
  3. Step 3: Cross multiply
    275,429.70x = 413,144.55 × 163,455.30
  4. Step 4: Simplify right side
    275,429.70x = 67,530,666,363.62
  5. Step 5: Solve for x
    x = 67,530,666,363.62/275,429.70
  6. Step 6: Final answer
    x = 245,182.95

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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.