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Finding the Fourth Proportional to 378,960.76, 522,965.94 and 209,195

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Solution

The fourth proportional to 378,960.76, 522,965.94 and 209,195 is: 288,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,960.76 : 522,965.94 = 209,195 : x
  2. Step 2: Convert to fraction form
    378,960.76/522,965.94 = 209,195/x
  3. Step 3: Cross multiply
    378,960.76x = 522,965.94 × 209,195
  4. Step 4: Simplify right side
    378,960.76x = 109,401,859,818.30
  5. Step 5: Solve for x
    x = 109,401,859,818.30/378,960.76
  6. Step 6: Final answer
    x = 288,689.15

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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.