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Finding the Fourth Proportional to 275,734.20, 413,601.30 and 117,978.60

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Solution

The fourth proportional to 275,734.20, 413,601.30 and 117,978.60 is: 176,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,734.20 : 413,601.30 = 117,978.60 : x
  2. Step 2: Convert to fraction form
    275,734.20/413,601.30 = 117,978.60/x
  3. Step 3: Cross multiply
    275,734.20x = 413,601.30 × 117,978.60
  4. Step 4: Simplify right side
    275,734.20x = 48,796,102,332.18
  5. Step 5: Solve for x
    x = 48,796,102,332.18/275,734.20
  6. Step 6: Final answer
    x = 176,967.90

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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.