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Finding the Fourth Proportional to 378,380.32, 522,168.38 and 208,620.52

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Solution

The fourth proportional to 378,380.32, 522,168.38 and 208,620.52 is: 287,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,380.32 : 522,168.38 = 208,620.52 : x
  2. Step 2: Convert to fraction form
    378,380.32/522,168.38 = 208,620.52/x
  3. Step 3: Cross multiply
    378,380.32x = 522,168.38 × 208,620.52
  4. Step 4: Simplify right side
    378,380.32x = 108,935,038,963.16
  5. Step 5: Solve for x
    x = 108,935,038,963.16/378,380.32
  6. Step 6: Final answer
    x = 287,898.27

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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.