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Finding the Fourth Proportional to 339,467.31, 509,296.30 and 99,586.88

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Solution

The fourth proportional to 339,467.31, 509,296.30 and 99,586.88 is: 149,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,467.31 : 509,296.30 = 99,586.88 : x
  2. Step 2: Convert to fraction form
    339,467.31/509,296.30 = 99,586.88/x
  3. Step 3: Cross multiply
    339,467.31x = 509,296.30 × 99,586.88
  4. Step 4: Simplify right side
    339,467.31x = 50,719,226,717.10
  5. Step 5: Solve for x
    x = 50,719,226,717.10/339,467.31
  6. Step 6: Final answer
    x = 149,408.28

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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.