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Finding the Fourth Proportional to 512,454.90, 768,034.35 and 196,490.10

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Solution

The fourth proportional to 512,454.90, 768,034.35 and 196,490.10 is: 294,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,454.90 : 768,034.35 = 196,490.10 : x
  2. Step 2: Convert to fraction form
    512,454.90/768,034.35 = 196,490.10/x
  3. Step 3: Cross multiply
    512,454.90x = 768,034.35 × 196,490.10
  4. Step 4: Simplify right side
    512,454.90x = 150,911,146,234.94
  5. Step 5: Solve for x
    x = 150,911,146,234.94/512,454.90
  6. Step 6: Final answer
    x = 294,486.69

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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.