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Finding the Fourth Proportional to 641,377.82, 962,398.68 and 465,337.82

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Solution

The fourth proportional to 641,377.82, 962,398.68 and 465,337.82 is: 698,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,377.82 : 962,398.68 = 465,337.82 : x
  2. Step 2: Convert to fraction form
    641,377.82/962,398.68 = 465,337.82/x
  3. Step 3: Cross multiply
    641,377.82x = 962,398.68 × 465,337.82
  4. Step 4: Simplify right side
    641,377.82x = 447,840,503,722.08
  5. Step 5: Solve for x
    x = 447,840,503,722.08/641,377.82
  6. Step 6: Final answer
    x = 698,247.57

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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.