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Finding the Fourth Proportional to 308,320, 462,480.12 and 86,704

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Solution

The fourth proportional to 308,320, 462,480.12 and 86,704 is: 130,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,320 : 462,480.12 = 86,704 : x
  2. Step 2: Convert to fraction form
    308,320/462,480.12 = 86,704/x
  3. Step 3: Cross multiply
    308,320x = 462,480.12 × 86,704
  4. Step 4: Simplify right side
    308,320x = 40,098,876,324.48
  5. Step 5: Solve for x
    x = 40,098,876,324.48/308,320
  6. Step 6: Final answer
    x = 130,056.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.