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Finding the Fourth Proportional to 512,322, 768,487.32 and 179,898

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Solution

The fourth proportional to 512,322, 768,487.32 and 179,898 is: 269,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,322 : 768,487.32 = 179,898 : x
  2. Step 2: Convert to fraction form
    512,322/768,487.32 = 179,898/x
  3. Step 3: Cross multiply
    512,322x = 768,487.32 × 179,898
  4. Step 4: Simplify right side
    512,322x = 138,249,331,893.36
  5. Step 5: Solve for x
    x = 138,249,331,893.36/512,322
  6. Step 6: Final answer
    x = 269,848.52

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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.