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Finding the Fourth Proportional to 309,819.96, 465,508.62 and 197,551.80

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Solution

The fourth proportional to 309,819.96, 465,508.62 and 197,551.80 is: 296,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,819.96 : 465,508.62 = 197,551.80 : x
  2. Step 2: Convert to fraction form
    309,819.96/465,508.62 = 197,551.80/x
  3. Step 3: Cross multiply
    309,819.96x = 465,508.62 × 197,551.80
  4. Step 4: Simplify right side
    309,819.96x = 91,962,065,796.52
  5. Step 5: Solve for x
    x = 91,962,065,796.52/309,819.96
  6. Step 6: Final answer
    x = 296,824.21

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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.