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Finding the Fourth Proportional to 309,978.57, 427,770.21 and 174,012.78

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Solution

The fourth proportional to 309,978.57, 427,770.21 and 174,012.78 is: 240,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,978.57 : 427,770.21 = 174,012.78 : x
  2. Step 2: Convert to fraction form
    309,978.57/427,770.21 = 174,012.78/x
  3. Step 3: Cross multiply
    309,978.57x = 427,770.21 × 174,012.78
  4. Step 4: Simplify right side
    309,978.57x = 74,437,481,503.79
  5. Step 5: Solve for x
    x = 74,437,481,503.79/309,978.57
  6. Step 6: Final answer
    x = 240,137.51

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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.