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Finding the Fourth Proportional to 490,076.28, 734,647.86 and 157,419

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Solution

The fourth proportional to 490,076.28, 734,647.86 and 157,419 is: 235,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,076.28 : 734,647.86 = 157,419 : x
  2. Step 2: Convert to fraction form
    490,076.28/734,647.86 = 157,419/x
  3. Step 3: Cross multiply
    490,076.28x = 734,647.86 × 157,419
  4. Step 4: Simplify right side
    490,076.28x = 115,647,531,473.34
  5. Step 5: Solve for x
    x = 115,647,531,473.34/490,076.28
  6. Step 6: Final answer
    x = 235,978.63

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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.