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Finding the Fourth Proportional to 308,211.80, 462,398.70 and 97,849.40

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Solution

The fourth proportional to 308,211.80, 462,398.70 and 97,849.40 is: 146,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,211.80 : 462,398.70 = 97,849.40 : x
  2. Step 2: Convert to fraction form
    308,211.80/462,398.70 = 97,849.40/x
  3. Step 3: Cross multiply
    308,211.80x = 462,398.70 × 97,849.40
  4. Step 4: Simplify right side
    308,211.80x = 45,245,435,355.78
  5. Step 5: Solve for x
    x = 45,245,435,355.78/308,211.80
  6. Step 6: Final answer
    x = 146,799.82

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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.