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Finding the Fourth Proportional to 308,164.60, 462,290.10 and 121,132.60

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Solution

The fourth proportional to 308,164.60, 462,290.10 and 121,132.60 is: 181,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,164.60 : 462,290.10 = 121,132.60 : x
  2. Step 2: Convert to fraction form
    308,164.60/462,290.10 = 121,132.60/x
  3. Step 3: Cross multiply
    308,164.60x = 462,290.10 × 121,132.60
  4. Step 4: Simplify right side
    308,164.60x = 55,998,401,767.26
  5. Step 5: Solve for x
    x = 55,998,401,767.26/308,164.60
  6. Step 6: Final answer
    x = 181,715.88

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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.