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Finding the Fourth Proportional to 512,388.69, 769,051.80 and 259,843.50

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Solution

The fourth proportional to 512,388.69, 769,051.80 and 259,843.50 is: 390,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,388.69 : 769,051.80 = 259,843.50 : x
  2. Step 2: Convert to fraction form
    512,388.69/769,051.80 = 259,843.50/x
  3. Step 3: Cross multiply
    512,388.69x = 769,051.80 × 259,843.50
  4. Step 4: Simplify right side
    512,388.69x = 199,833,111,393.30
  5. Step 5: Solve for x
    x = 199,833,111,393.30/512,388.69
  6. Step 6: Final answer
    x = 390,002.97

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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.