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Finding the Fourth Proportional to 378,583.39, 522,446.71 and 206,505.05

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Solution

The fourth proportional to 378,583.39, 522,446.71 and 206,505.05 is: 284,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,583.39 : 522,446.71 = 206,505.05 : x
  2. Step 2: Convert to fraction form
    378,583.39/522,446.71 = 206,505.05/x
  3. Step 3: Cross multiply
    378,583.39x = 522,446.71 × 206,505.05
  4. Step 4: Simplify right side
    378,583.39x = 107,887,883,970.89
  5. Step 5: Solve for x
    x = 107,887,883,970.89/378,583.39
  6. Step 6: Final answer
    x = 284,977.86

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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.