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Finding the Fourth Proportional to 278,003.64, 383,640.86 and 157,140.68

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Solution

The fourth proportional to 278,003.64, 383,640.86 and 157,140.68 is: 216,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,003.64 : 383,640.86 = 157,140.68 : x
  2. Step 2: Convert to fraction form
    278,003.64/383,640.86 = 157,140.68/x
  3. Step 3: Cross multiply
    278,003.64x = 383,640.86 × 157,140.68
  4. Step 4: Simplify right side
    278,003.64x = 60,285,582,912.28
  5. Step 5: Solve for x
    x = 60,285,582,912.28/278,003.64
  6. Step 6: Final answer
    x = 216,851.78

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1.5x scale

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.