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Finding the Fourth Proportional to 512,979.69, 769,552.25 and 157,993.59

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Solution

The fourth proportional to 512,979.69, 769,552.25 and 157,993.59 is: 237,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,979.69 : 769,552.25 = 157,993.59 : x
  2. Step 2: Convert to fraction form
    512,979.69/769,552.25 = 157,993.59/x
  3. Step 3: Cross multiply
    512,979.69x = 769,552.25 × 157,993.59
  4. Step 4: Simplify right side
    512,979.69x = 121,584,322,670.08
  5. Step 5: Solve for x
    x = 121,584,322,670.08/512,979.69
  6. Step 6: Final answer
    x = 237,015.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.