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Finding the Fourth Proportional to 378,520.81, 522,359.21 and 206,439.14

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Solution

The fourth proportional to 378,520.81, 522,359.21 and 206,439.14 is: 284,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,520.81 : 522,359.21 = 206,439.14 : x
  2. Step 2: Convert to fraction form
    378,520.81/522,359.21 = 206,439.14/x
  3. Step 3: Cross multiply
    378,520.81x = 522,359.21 × 206,439.14
  4. Step 4: Simplify right side
    378,520.81x = 107,835,386,083.48
  5. Step 5: Solve for x
    x = 107,835,386,083.48/378,520.81
  6. Step 6: Final answer
    x = 284,886.28

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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.