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Finding the Fourth Proportional to 512,980.44, 769,553.37 and 157,994.34

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Solution

The fourth proportional to 512,980.44, 769,553.37 and 157,994.34 is: 237,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,980.44 : 769,553.37 = 157,994.34 : x
  2. Step 2: Convert to fraction form
    512,980.44/769,553.37 = 157,994.34/x
  3. Step 3: Cross multiply
    512,980.44x = 769,553.37 × 157,994.34
  4. Step 4: Simplify right side
    512,980.44x = 121,585,076,787.93
  5. Step 5: Solve for x
    x = 121,585,076,787.93/512,980.44
  6. Step 6: Final answer
    x = 237,016.98

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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.