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Finding the Fourth Proportional to 278,375.76, 417,563.44 and 159,971.58

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Solution

The fourth proportional to 278,375.76, 417,563.44 and 159,971.58 is: 239,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,375.76 : 417,563.44 = 159,971.58 : x
  2. Step 2: Convert to fraction form
    278,375.76/417,563.44 = 159,971.58/x
  3. Step 3: Cross multiply
    278,375.76x = 417,563.44 × 159,971.58
  4. Step 4: Simplify right side
    278,375.76x = 66,798,282,847.11
  5. Step 5: Solve for x
    x = 66,798,282,847.11/278,375.76
  6. Step 6: Final answer
    x = 239,957.25

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1.5x scale

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.