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Finding the Fourth Proportional to 512,589.72, 768,596.58 and 212,868.66

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Solution

The fourth proportional to 512,589.72, 768,596.58 and 212,868.66 is: 319,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,589.72 : 768,596.58 = 212,868.66 : x
  2. Step 2: Convert to fraction form
    512,589.72/768,596.58 = 212,868.66/x
  3. Step 3: Cross multiply
    512,589.72x = 768,596.58 × 212,868.66
  4. Step 4: Simplify right side
    512,589.72x = 163,610,124,065.18
  5. Step 5: Solve for x
    x = 163,610,124,065.18/512,589.72
  6. Step 6: Final answer
    x = 319,183.39

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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.