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Finding the Fourth Proportional to 378,761.84, 522,690.76 and 208,995.92

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Solution

The fourth proportional to 378,761.84, 522,690.76 and 208,995.92 is: 288,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,761.84 : 522,690.76 = 208,995.92 : x
  2. Step 2: Convert to fraction form
    378,761.84/522,690.76 = 208,995.92/x
  3. Step 3: Cross multiply
    378,761.84x = 522,690.76 × 208,995.92
  4. Step 4: Simplify right side
    378,761.84x = 109,240,236,261.70
  5. Step 5: Solve for x
    x = 109,240,236,261.70/378,761.84
  6. Step 6: Final answer
    x = 288,414.05

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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.