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Finding the Fourth Proportional to 378,796.38, 522,737.19 and 209,040.90

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Solution

The fourth proportional to 378,796.38, 522,737.19 and 209,040.90 is: 288,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,796.38 : 522,737.19 = 209,040.90 : x
  2. Step 2: Convert to fraction form
    378,796.38/522,737.19 = 209,040.90/x
  3. Step 3: Cross multiply
    378,796.38x = 522,737.19 × 209,040.90
  4. Step 4: Simplify right side
    378,796.38x = 109,273,452,661.07
  5. Step 5: Solve for x
    x = 109,273,452,661.07/378,796.38
  6. Step 6: Final answer
    x = 288,475.44

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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.