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Finding the Fourth Proportional to 512,245.56, 768,482.52 and 157,295.44

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Solution

The fourth proportional to 512,245.56, 768,482.52 and 157,295.44 is: 235,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,245.56 : 768,482.52 = 157,295.44 : x
  2. Step 2: Convert to fraction form
    512,245.56/768,482.52 = 157,295.44/x
  3. Step 3: Cross multiply
    512,245.56x = 768,482.52 × 157,295.44
  4. Step 4: Simplify right side
    512,245.56x = 120,878,796,115.71
  5. Step 5: Solve for x
    x = 120,878,796,115.71/512,245.56
  6. Step 6: Final answer
    x = 235,978.22

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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.