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Finding the Fourth Proportional to 378,807.86, 522,767.40 and 206,735.24

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Solution

The fourth proportional to 378,807.86, 522,767.40 and 206,735.24 is: 285,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,807.86 : 522,767.40 = 206,735.24 : x
  2. Step 2: Convert to fraction form
    378,807.86/522,767.40 = 206,735.24/x
  3. Step 3: Cross multiply
    378,807.86x = 522,767.40 × 206,735.24
  4. Step 4: Simplify right side
    378,807.86x = 108,074,443,903.18
  5. Step 5: Solve for x
    x = 108,074,443,903.18/378,807.86
  6. Step 6: Final answer
    x = 285,301.48

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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.