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Finding the Fourth Proportional to 378,809.86, 522,847.06 and 217,758.32

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Solution

The fourth proportional to 378,809.86, 522,847.06 and 217,758.32 is: 300,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,809.86 : 522,847.06 = 217,758.32 : x
  2. Step 2: Convert to fraction form
    378,809.86/522,847.06 = 217,758.32/x
  3. Step 3: Cross multiply
    378,809.86x = 522,847.06 × 217,758.32
  4. Step 4: Simplify right side
    378,809.86x = 113,854,297,402.54
  5. Step 5: Solve for x
    x = 113,854,297,402.54/378,809.86
  6. Step 6: Final answer
    x = 300,557.90

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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.