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Finding the Fourth Proportional to 509,963.70, 764,913.15 and 173,003.70

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Solution

The fourth proportional to 509,963.70, 764,913.15 and 173,003.70 is: 259,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,963.70 : 764,913.15 = 173,003.70 : x
  2. Step 2: Convert to fraction form
    509,963.70/764,913.15 = 173,003.70/x
  3. Step 3: Cross multiply
    509,963.70x = 764,913.15 × 173,003.70
  4. Step 4: Simplify right side
    509,963.70x = 132,332,805,128.66
  5. Step 5: Solve for x
    x = 132,332,805,128.66/509,963.70
  6. Step 6: Final answer
    x = 259,494.56

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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.