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Finding the Fourth Proportional to 308,916, 463,410.72 and 109,195.20

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Solution

The fourth proportional to 308,916, 463,410.72 and 109,195.20 is: 163,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,916 : 463,410.72 = 109,195.20 : x
  2. Step 2: Convert to fraction form
    308,916/463,410.72 = 109,195.20/x
  3. Step 3: Cross multiply
    308,916x = 463,410.72 × 109,195.20
  4. Step 4: Simplify right side
    308,916x = 50,602,226,252.54
  5. Step 5: Solve for x
    x = 50,602,226,252.54/308,916
  6. Step 6: Final answer
    x = 163,805.78

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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.