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Finding the Fourth Proportional to 278,843.70, 384,803.02 and 157,984.72

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Solution

The fourth proportional to 278,843.70, 384,803.02 and 157,984.72 is: 218,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,843.70 : 384,803.02 = 157,984.72 : x
  2. Step 2: Convert to fraction form
    278,843.70/384,803.02 = 157,984.72/x
  3. Step 3: Cross multiply
    278,843.70x = 384,803.02 × 157,984.72
  4. Step 4: Simplify right side
    278,843.70x = 60,792,997,369.85
  5. Step 5: Solve for x
    x = 60,792,997,369.85/278,843.70
  6. Step 6: Final answer
    x = 218,018.18

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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.