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Finding the Fourth Proportional to 299,113, 412,761.36 and 178,251.52

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Solution

The fourth proportional to 299,113, 412,761.36 and 178,251.52 is: 245,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,113 : 412,761.36 = 178,251.52 : x
  2. Step 2: Convert to fraction form
    299,113/412,761.36 = 178,251.52/x
  3. Step 3: Cross multiply
    299,113x = 412,761.36 × 178,251.52
  4. Step 4: Simplify right side
    299,113x = 73,575,339,817.27
  5. Step 5: Solve for x
    x = 73,575,339,817.27/299,113
  6. Step 6: Final answer
    x = 245,978.41

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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.