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Finding the Fourth Proportional to 309,517.86, 464,408.01 and 169,112.46

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Solution

The fourth proportional to 309,517.86, 464,408.01 and 169,112.46 is: 253,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,517.86 : 464,408.01 = 169,112.46 : x
  2. Step 2: Convert to fraction form
    309,517.86/464,408.01 = 169,112.46/x
  3. Step 3: Cross multiply
    309,517.86x = 464,408.01 × 169,112.46
  4. Step 4: Simplify right side
    309,517.86x = 78,537,181,014.80
  5. Step 5: Solve for x
    x = 78,537,181,014.80/309,517.86
  6. Step 6: Final answer
    x = 253,740.39

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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.