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Finding the Fourth Proportional to 308,331.84, 462,490.56 and 142,119.84

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Solution

The fourth proportional to 308,331.84, 462,490.56 and 142,119.84 is: 213,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,331.84 : 462,490.56 = 142,119.84 : x
  2. Step 2: Convert to fraction form
    308,331.84/462,490.56 = 142,119.84/x
  3. Step 3: Cross multiply
    308,331.84x = 462,490.56 × 142,119.84
  4. Step 4: Simplify right side
    308,331.84x = 65,729,084,388.71
  5. Step 5: Solve for x
    x = 65,729,084,388.71/308,331.84
  6. Step 6: Final answer
    x = 213,176.44

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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.