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Finding the Fourth Proportional to 308,261.76, 462,491.36 and 130,917.76

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Solution

The fourth proportional to 308,261.76, 462,491.36 and 130,917.76 is: 196,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,261.76 : 462,491.36 = 130,917.76 : x
  2. Step 2: Convert to fraction form
    308,261.76/462,491.36 = 130,917.76/x
  3. Step 3: Cross multiply
    308,261.76x = 462,491.36 × 130,917.76
  4. Step 4: Simplify right side
    308,261.76x = 60,548,332,870.55
  5. Step 5: Solve for x
    x = 60,548,332,870.55/308,261.76
  6. Step 6: Final answer
    x = 196,418.57

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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.