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Finding the Fourth Proportional to 339,937.72, 509,833.68 and 140,206.30

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Solution

The fourth proportional to 339,937.72, 509,833.68 and 140,206.30 is: 210,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,937.72 : 509,833.68 = 140,206.30 : x
  2. Step 2: Convert to fraction form
    339,937.72/509,833.68 = 140,206.30/x
  3. Step 3: Cross multiply
    339,937.72x = 509,833.68 × 140,206.30
  4. Step 4: Simplify right side
    339,937.72x = 71,481,893,888.18
  5. Step 5: Solve for x
    x = 71,481,893,888.18/339,937.72
  6. Step 6: Final answer
    x = 210,279.38

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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.