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Finding the Fourth Proportional to 308,298, 462,447.18 and 86,682

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Solution

The fourth proportional to 308,298, 462,447.18 and 86,682 is: 130,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,298 : 462,447.18 = 86,682 : x
  2. Step 2: Convert to fraction form
    308,298/462,447.18 = 86,682/x
  3. Step 3: Cross multiply
    308,298x = 462,447.18 × 86,682
  4. Step 4: Simplify right side
    308,298x = 40,085,846,456.76
  5. Step 5: Solve for x
    x = 40,085,846,456.76/308,298
  6. Step 6: Final answer
    x = 130,023.05

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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.