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Finding the Fourth Proportional to 308,331.78, 462,399.26 and 97,920.51

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Solution

The fourth proportional to 308,331.78, 462,399.26 and 97,920.51 is: 146,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,331.78 : 462,399.26 = 97,920.51 : x
  2. Step 2: Convert to fraction form
    308,331.78/462,399.26 = 97,920.51/x
  3. Step 3: Cross multiply
    308,331.78x = 462,399.26 × 97,920.51
  4. Step 4: Simplify right side
    308,331.78x = 45,278,370,873.22
  5. Step 5: Solve for x
    x = 45,278,370,873.22/308,331.78
  6. Step 6: Final answer
    x = 146,849.51

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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.