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Finding the Fourth Proportional to 378,042.76, 521,697.43 and 205,960.19

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Solution

The fourth proportional to 378,042.76, 521,697.43 and 205,960.19 is: 284,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,042.76 : 521,697.43 = 205,960.19 : x
  2. Step 2: Convert to fraction form
    378,042.76/521,697.43 = 205,960.19/x
  3. Step 3: Cross multiply
    378,042.76x = 521,697.43 × 205,960.19
  4. Step 4: Simplify right side
    378,042.76x = 107,448,901,805.31
  5. Step 5: Solve for x
    x = 107,448,901,805.31/378,042.76
  6. Step 6: Final answer
    x = 284,224.20

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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.