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Finding the Fourth Proportional to 280,881.76, 419,192.84 and 269,451.04

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Solution

The fourth proportional to 280,881.76, 419,192.84 and 269,451.04 is: 402,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,881.76 : 419,192.84 = 269,451.04 : x
  2. Step 2: Convert to fraction form
    280,881.76/419,192.84 = 269,451.04/x
  3. Step 3: Cross multiply
    280,881.76x = 419,192.84 × 269,451.04
  4. Step 4: Simplify right side
    280,881.76x = 112,951,946,698.55
  5. Step 5: Solve for x
    x = 112,951,946,698.55/280,881.76
  6. Step 6: Final answer
    x = 402,133.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.