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Finding the Fourth Proportional to 339,722.70, 509,000.85 and 221,333.10

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Solution

The fourth proportional to 339,722.70, 509,000.85 and 221,333.10 is: 331,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,722.70 : 509,000.85 = 221,333.10 : x
  2. Step 2: Convert to fraction form
    339,722.70/509,000.85 = 221,333.10/x
  3. Step 3: Cross multiply
    339,722.70x = 509,000.85 × 221,333.10
  4. Step 4: Simplify right side
    339,722.70x = 112,658,736,033.14
  5. Step 5: Solve for x
    x = 112,658,736,033.14/339,722.70
  6. Step 6: Final answer
    x = 331,619.69

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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.