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Finding the Fourth Proportional to 308,126, 462,215.28 and 86,510

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Solution

The fourth proportional to 308,126, 462,215.28 and 86,510 is: 129,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,126 : 462,215.28 = 86,510 : x
  2. Step 2: Convert to fraction form
    308,126/462,215.28 = 86,510/x
  3. Step 3: Cross multiply
    308,126x = 462,215.28 × 86,510
  4. Step 4: Simplify right side
    308,126x = 39,986,243,872.80
  5. Step 5: Solve for x
    x = 39,986,243,872.80/308,126
  6. Step 6: Final answer
    x = 129,772.38

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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.