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Finding the Fourth Proportional to 465,353.76, 642,257.62 and 284,170.73

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Solution

The fourth proportional to 465,353.76, 642,257.62 and 284,170.73 is: 392,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,353.76 : 642,257.62 = 284,170.73 : x
  2. Step 2: Convert to fraction form
    465,353.76/642,257.62 = 284,170.73/x
  3. Step 3: Cross multiply
    465,353.76x = 642,257.62 × 284,170.73
  4. Step 4: Simplify right side
    465,353.76x = 182,510,817,618.68
  5. Step 5: Solve for x
    x = 182,510,817,618.68/465,353.76
  6. Step 6: Final answer
    x = 392,198.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.