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Finding the Fourth Proportional to 641,280.60, 962,145 and 401,120.46

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Solution

The fourth proportional to 641,280.60, 962,145 and 401,120.46 is: 601,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,280.60 : 962,145 = 401,120.46 : x
  2. Step 2: Convert to fraction form
    641,280.60/962,145 = 401,120.46/x
  3. Step 3: Cross multiply
    641,280.60x = 962,145 × 401,120.46
  4. Step 4: Simplify right side
    641,280.60x = 385,936,044,986.70
  5. Step 5: Solve for x
    x = 385,936,044,986.70/641,280.60
  6. Step 6: Final answer
    x = 601,820.86

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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.