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Finding the Fourth Proportional to 512,978.69, 769,550.75 and 157,992.59

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Solution

The fourth proportional to 512,978.69, 769,550.75 and 157,992.59 is: 237,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,978.69 : 769,550.75 = 157,992.59 : x
  2. Step 2: Convert to fraction form
    512,978.69/769,550.75 = 157,992.59/x
  3. Step 3: Cross multiply
    512,978.69x = 769,550.75 × 157,992.59
  4. Step 4: Simplify right side
    512,978.69x = 121,583,316,128.94
  5. Step 5: Solve for x
    x = 121,583,316,128.94/512,978.69
  6. Step 6: Final answer
    x = 237,014.36

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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.