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Finding the Fourth Proportional to 506,107.82, 698,468.19 and 279,774.38

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Solution

The fourth proportional to 506,107.82, 698,468.19 and 279,774.38 is: 386,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,107.82 : 698,468.19 = 279,774.38 : x
  2. Step 2: Convert to fraction form
    506,107.82/698,468.19 = 279,774.38/x
  3. Step 3: Cross multiply
    506,107.82x = 698,468.19 × 279,774.38
  4. Step 4: Simplify right side
    506,107.82x = 195,413,504,806.97
  5. Step 5: Solve for x
    x = 195,413,504,806.97/506,107.82
  6. Step 6: Final answer
    x = 386,110.42

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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.