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Finding the Fourth Proportional to 280,504.62, 387,099 and 159,640.07

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Solution

The fourth proportional to 280,504.62, 387,099 and 159,640.07 is: 220,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,504.62 : 387,099 = 159,640.07 : x
  2. Step 2: Convert to fraction form
    280,504.62/387,099 = 159,640.07/x
  3. Step 3: Cross multiply
    280,504.62x = 387,099 × 159,640.07
  4. Step 4: Simplify right side
    280,504.62x = 61,796,509,521.44
  5. Step 5: Solve for x
    x = 61,796,509,521.44/280,504.62
  6. Step 6: Final answer
    x = 220,304.78

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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.