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Finding the Fourth Proportional to 378,908.76, 522,894.12 and 209,142.92

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Solution

The fourth proportional to 378,908.76, 522,894.12 and 209,142.92 is: 288,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,908.76 : 522,894.12 = 209,142.92 : x
  2. Step 2: Convert to fraction form
    378,908.76/522,894.12 = 209,142.92/x
  3. Step 3: Cross multiply
    378,908.76x = 522,894.12 × 209,142.92
  4. Step 4: Simplify right side
    378,908.76x = 109,359,603,107.63
  5. Step 5: Solve for x
    x = 109,359,603,107.63/378,908.76
  6. Step 6: Final answer
    x = 288,617.25

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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.