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Finding the Fourth Proportional to 641,722.24, 962,299 and 342,147

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Solution

The fourth proportional to 641,722.24, 962,299 and 342,147 is: 513,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,722.24 : 962,299 = 342,147 : x
  2. Step 2: Convert to fraction form
    641,722.24/962,299 = 342,147/x
  3. Step 3: Cross multiply
    641,722.24x = 962,299 × 342,147
  4. Step 4: Simplify right side
    641,722.24x = 329,247,715,953
  5. Step 5: Solve for x
    x = 329,247,715,953/641,722.24
  6. Step 6: Final answer
    x = 513,068.89

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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.