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Finding the Fourth Proportional to 641,380.28, 962,402.42 and 465,340.28

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Solution

The fourth proportional to 641,380.28, 962,402.42 and 465,340.28 is: 698,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,380.28 : 962,402.42 = 465,340.28 : x
  2. Step 2: Convert to fraction form
    641,380.28/962,402.42 = 465,340.28/x
  3. Step 3: Cross multiply
    641,380.28x = 962,402.42 × 465,340.28
  4. Step 4: Simplify right side
    641,380.28x = 447,844,611,595.48
  5. Step 5: Solve for x
    x = 447,844,611,595.48/641,380.28
  6. Step 6: Final answer
    x = 698,251.30

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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.