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Finding the Fourth Proportional to 512,954.48, 769,359.78 and 175,989.60

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Solution

The fourth proportional to 512,954.48, 769,359.78 and 175,989.60 is: 263,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,954.48 : 769,359.78 = 175,989.60 : x
  2. Step 2: Convert to fraction form
    512,954.48/769,359.78 = 175,989.60/x
  3. Step 3: Cross multiply
    512,954.48x = 769,359.78 × 175,989.60
  4. Step 4: Simplify right side
    512,954.48x = 135,399,319,938.29
  5. Step 5: Solve for x
    x = 135,399,319,938.29/512,954.48
  6. Step 6: Final answer
    x = 263,959.72

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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.