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Finding the Fourth Proportional to 308,403.22, 462,505.74 and 97,991.98

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Solution

The fourth proportional to 308,403.22, 462,505.74 and 97,991.98 is: 146,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,403.22 : 462,505.74 = 97,991.98 : x
  2. Step 2: Convert to fraction form
    308,403.22/462,505.74 = 97,991.98/x
  3. Step 3: Cross multiply
    308,403.22x = 462,505.74 × 97,991.98
  4. Step 4: Simplify right side
    308,403.22x = 45,321,853,223.97
  5. Step 5: Solve for x
    x = 45,321,853,223.97/308,403.22
  6. Step 6: Final answer
    x = 146,956.49

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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.