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Finding the Fourth Proportional to 308,743.80, 463,115.70 and 305,791.35

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Solution

The fourth proportional to 308,743.80, 463,115.70 and 305,791.35 is: 458,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,743.80 : 463,115.70 = 305,791.35 : x
  2. Step 2: Convert to fraction form
    308,743.80/463,115.70 = 305,791.35/x
  3. Step 3: Cross multiply
    308,743.80x = 463,115.70 × 305,791.35
  4. Step 4: Simplify right side
    308,743.80x = 141,616,775,109.20
  5. Step 5: Solve for x
    x = 141,616,775,109.20/308,743.80
  6. Step 6: Final answer
    x = 458,687.03

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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.