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Finding the Fourth Proportional to 407,104.60, 610,510.56 and 140,792.80

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Solution

The fourth proportional to 407,104.60, 610,510.56 and 140,792.80 is: 211,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,104.60 : 610,510.56 = 140,792.80 : x
  2. Step 2: Convert to fraction form
    407,104.60/610,510.56 = 140,792.80/x
  3. Step 3: Cross multiply
    407,104.60x = 610,510.56 × 140,792.80
  4. Step 4: Simplify right side
    407,104.60x = 85,955,491,171.97
  5. Step 5: Solve for x
    x = 85,955,491,171.97/407,104.60
  6. Step 6: Final answer
    x = 211,138.59

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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.