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Finding the Fourth Proportional to 308,232, 462,348 and 86,616

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Solution

The fourth proportional to 308,232, 462,348 and 86,616 is: 129,924

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,232 : 462,348 = 86,616 : x
  2. Step 2: Convert to fraction form
    308,232/462,348 = 86,616/x
  3. Step 3: Cross multiply
    308,232x = 462,348 × 86,616
  4. Step 4: Simplify right side
    308,232x = 40,046,734,368
  5. Step 5: Solve for x
    x = 40,046,734,368/308,232
  6. Step 6: Final answer
    x = 129,924

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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.