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Finding the Fourth Proportional to 642,711.97, 962,711.70 and 515,664.37

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Solution

The fourth proportional to 642,711.97, 962,711.70 and 515,664.37 is: 772,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,711.97 : 962,711.70 = 515,664.37 : x
  2. Step 2: Convert to fraction form
    642,711.97/962,711.70 = 515,664.37/x
  3. Step 3: Cross multiply
    642,711.97x = 962,711.70 × 515,664.37
  4. Step 4: Simplify right side
    642,711.97x = 496,436,122,272.13
  5. Step 5: Solve for x
    x = 496,436,122,272.13/642,711.97
  6. Step 6: Final answer
    x = 772,408.40

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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.