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Finding the Fourth Proportional to 308,369.57, 462,537.77 and 97,991.10

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Solution

The fourth proportional to 308,369.57, 462,537.77 and 97,991.10 is: 146,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,369.57 : 462,537.77 = 97,991.10 : x
  2. Step 2: Convert to fraction form
    308,369.57/462,537.77 = 97,991.10/x
  3. Step 3: Cross multiply
    308,369.57x = 462,537.77 × 97,991.10
  4. Step 4: Simplify right side
    308,369.57x = 45,324,584,383.89
  5. Step 5: Solve for x
    x = 45,324,584,383.89/308,369.57
  6. Step 6: Final answer
    x = 146,981.38

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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.