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Finding the Fourth Proportional to 315,871.45, 473,780.56 and 135,949.60

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Solution

The fourth proportional to 315,871.45, 473,780.56 and 135,949.60 is: 203,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,871.45 : 473,780.56 = 135,949.60 : x
  2. Step 2: Convert to fraction form
    315,871.45/473,780.56 = 135,949.60/x
  3. Step 3: Cross multiply
    315,871.45x = 473,780.56 × 135,949.60
  4. Step 4: Simplify right side
    315,871.45x = 64,410,278,219.75
  5. Step 5: Solve for x
    x = 64,410,278,219.75/315,871.45
  6. Step 6: Final answer
    x = 203,912.95

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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.