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Finding the Fourth Proportional to 280,835.06, 387,871.92 and 188,794.49

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Solution

The fourth proportional to 280,835.06, 387,871.92 and 188,794.49 is: 260,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,835.06 : 387,871.92 = 188,794.49 : x
  2. Step 2: Convert to fraction form
    280,835.06/387,871.92 = 188,794.49/x
  3. Step 3: Cross multiply
    280,835.06x = 387,871.92 × 188,794.49
  4. Step 4: Simplify right side
    280,835.06x = 73,228,079,382.36
  5. Step 5: Solve for x
    x = 73,228,079,382.36/280,835.06
  6. Step 6: Final answer
    x = 260,751.21

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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.