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Finding the Fourth Proportional to 308,181.80, 462,353.70 and 97,819.40

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Solution

The fourth proportional to 308,181.80, 462,353.70 and 97,819.40 is: 146,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,181.80 : 462,353.70 = 97,819.40 : x
  2. Step 2: Convert to fraction form
    308,181.80/462,353.70 = 97,819.40/x
  3. Step 3: Cross multiply
    308,181.80x = 462,353.70 × 97,819.40
  4. Step 4: Simplify right side
    308,181.80x = 45,227,161,521.78
  5. Step 5: Solve for x
    x = 45,227,161,521.78/308,181.80
  6. Step 6: Final answer
    x = 146,754.81

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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.