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Finding the Fourth Proportional to 407,785.90, 562,517.58 and 378,919.93

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Solution

The fourth proportional to 407,785.90, 562,517.58 and 378,919.93 is: 522,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,785.90 : 562,517.58 = 378,919.93 : x
  2. Step 2: Convert to fraction form
    407,785.90/562,517.58 = 378,919.93/x
  3. Step 3: Cross multiply
    407,785.90x = 562,517.58 × 378,919.93
  4. Step 4: Simplify right side
    407,785.90x = 213,149,122,037.37
  5. Step 5: Solve for x
    x = 213,149,122,037.37/407,785.90
  6. Step 6: Final answer
    x = 522,698.61

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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.