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Finding the Fourth Proportional to 512,215.80, 768,323.70 and 246,495.30

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Solution

The fourth proportional to 512,215.80, 768,323.70 and 246,495.30 is: 369,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,215.80 : 768,323.70 = 246,495.30 : x
  2. Step 2: Convert to fraction form
    512,215.80/768,323.70 = 246,495.30/x
  3. Step 3: Cross multiply
    512,215.80x = 768,323.70 × 246,495.30
  4. Step 4: Simplify right side
    512,215.80x = 189,388,180,928.61
  5. Step 5: Solve for x
    x = 189,388,180,928.61/512,215.80
  6. Step 6: Final answer
    x = 369,742.95

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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.