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Finding the Fourth Proportional to 512,007.60, 768,643.20 and 322,467.60

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Solution

The fourth proportional to 512,007.60, 768,643.20 and 322,467.60 is: 484,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,007.60 : 768,643.20 = 322,467.60 : x
  2. Step 2: Convert to fraction form
    512,007.60/768,643.20 = 322,467.60/x
  3. Step 3: Cross multiply
    512,007.60x = 768,643.20 × 322,467.60
  4. Step 4: Simplify right side
    512,007.60x = 247,862,527,960.32
  5. Step 5: Solve for x
    x = 247,862,527,960.32/512,007.60
  6. Step 6: Final answer
    x = 484,099.31

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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.