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Finding the Fourth Proportional to 308,198.60, 462,254.70 and 97,857.80

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Solution

The fourth proportional to 308,198.60, 462,254.70 and 97,857.80 is: 146,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,198.60 : 462,254.70 = 97,857.80 : x
  2. Step 2: Convert to fraction form
    308,198.60/462,254.70 = 97,857.80/x
  3. Step 3: Cross multiply
    308,198.60x = 462,254.70 × 97,857.80
  4. Step 4: Simplify right side
    308,198.60x = 45,235,227,981.66
  5. Step 5: Solve for x
    x = 45,235,227,981.66/308,198.60
  6. Step 6: Final answer
    x = 146,772.98

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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.