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Finding the Fourth Proportional to 378,295.17, 522,043.08 and 206,209.36

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Solution

The fourth proportional to 378,295.17, 522,043.08 and 206,209.36 is: 284,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,295.17 : 522,043.08 = 206,209.36 : x
  2. Step 2: Convert to fraction form
    378,295.17/522,043.08 = 206,209.36/x
  3. Step 3: Cross multiply
    378,295.17x = 522,043.08 × 206,209.36
  4. Step 4: Simplify right side
    378,295.17x = 107,650,170,071.78
  5. Step 5: Solve for x
    x = 107,650,170,071.78/378,295.17
  6. Step 6: Final answer
    x = 284,566.60

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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.