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Finding the Fourth Proportional to 378,495.63, 522,317.39 and 206,414.91

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Solution

The fourth proportional to 378,495.63, 522,317.39 and 206,414.91 is: 284,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,495.63 : 522,317.39 = 206,414.91 : x
  2. Step 2: Convert to fraction form
    378,495.63/522,317.39 = 206,414.91/x
  3. Step 3: Cross multiply
    378,495.63x = 522,317.39 × 206,414.91
  4. Step 4: Simplify right side
    378,495.63x = 107,814,096,016.21
  5. Step 5: Solve for x
    x = 107,814,096,016.21/378,495.63
  6. Step 6: Final answer
    x = 284,848.98

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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.