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Finding the Fourth Proportional to 329,109.40, 493,664.10 and 275,965.30

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Solution

The fourth proportional to 329,109.40, 493,664.10 and 275,965.30 is: 413,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,109.40 : 493,664.10 = 275,965.30 : x
  2. Step 2: Convert to fraction form
    329,109.40/493,664.10 = 275,965.30/x
  3. Step 3: Cross multiply
    329,109.40x = 493,664.10 × 275,965.30
  4. Step 4: Simplify right side
    329,109.40x = 136,234,161,455.73
  5. Step 5: Solve for x
    x = 136,234,161,455.73/329,109.40
  6. Step 6: Final answer
    x = 413,947.95

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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.