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Finding the Fourth Proportional to 378,270.61, 522,010.10 and 206,188.61

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Solution

The fourth proportional to 378,270.61, 522,010.10 and 206,188.61 is: 284,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,270.61 : 522,010.10 = 206,188.61 : x
  2. Step 2: Convert to fraction form
    378,270.61/522,010.10 = 206,188.61/x
  3. Step 3: Cross multiply
    378,270.61x = 522,010.10 × 206,188.61
  4. Step 4: Simplify right side
    378,270.61x = 107,632,534,830.38
  5. Step 5: Solve for x
    x = 107,632,534,830.38/378,270.61
  6. Step 6: Final answer
    x = 284,538.46

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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.