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Finding the Fourth Proportional to 378,449.64, 522,256.68 and 206,367.18

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Solution

The fourth proportional to 378,449.64, 522,256.68 and 206,367.18 is: 284,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,449.64 : 522,256.68 = 206,367.18 : x
  2. Step 2: Convert to fraction form
    378,449.64/522,256.68 = 206,367.18/x
  3. Step 3: Cross multiply
    378,449.64x = 522,256.68 × 206,367.18
  4. Step 4: Simplify right side
    378,449.64x = 107,776,638,287.76
  5. Step 5: Solve for x
    x = 107,776,638,287.76/378,449.64
  6. Step 6: Final answer
    x = 284,784.62

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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.