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Finding the Fourth Proportional to 512,374.18, 768,589.29 and 212,885.04

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Solution

The fourth proportional to 512,374.18, 768,589.29 and 212,885.04 is: 319,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,374.18 : 768,589.29 = 212,885.04 : x
  2. Step 2: Convert to fraction form
    512,374.18/768,589.29 = 212,885.04/x
  3. Step 3: Cross multiply
    512,374.18x = 768,589.29 × 212,885.04
  4. Step 4: Simplify right side
    512,374.18x = 163,621,161,745.22
  5. Step 5: Solve for x
    x = 163,621,161,745.22/512,374.18
  6. Step 6: Final answer
    x = 319,339.20

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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.