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Finding the Fourth Proportional to 360,499,512.69, 497,510,177.39 and 201,728,249.84

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Solution

The fourth proportional to 360,499,512.69, 497,510,177.39 and 201,728,249.84 is: 278,396,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,499,512.69 : 497,510,177.39 = 201,728,249.84 : x
  2. Step 2: Convert to fraction form
    360,499,512.69/497,510,177.39 = 201,728,249.84/x
  3. Step 3: Cross multiply
    360,499,512.69x = 497,510,177.39 × 201,728,249.84
  4. Step 4: Simplify right side
    360,499,512.69x = 100,361,857,358,976,448
  5. Step 5: Solve for x
    x = 100,361,857,358,976,448/360,499,512.69
  6. Step 6: Final answer
    x = 278,396,651.94

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Double scale
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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.