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Finding the Fourth Proportional to 278,718.57, 384,622.83 and 157,871.03

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Solution

The fourth proportional to 278,718.57, 384,622.83 and 157,871.03 is: 217,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,718.57 : 384,622.83 = 157,871.03 : x
  2. Step 2: Convert to fraction form
    278,718.57/384,622.83 = 157,871.03/x
  3. Step 3: Cross multiply
    278,718.57x = 384,622.83 × 157,871.03
  4. Step 4: Simplify right side
    278,718.57x = 60,720,800,410.50
  5. Step 5: Solve for x
    x = 60,720,800,410.50/278,718.57
  6. Step 6: Final answer
    x = 217,857.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.