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Finding the Fourth Proportional to 308,308.26, 461,341.38 and 254,499.87

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Solution

The fourth proportional to 308,308.26, 461,341.38 and 254,499.87 is: 380,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,308.26 : 461,341.38 = 254,499.87 : x
  2. Step 2: Convert to fraction form
    308,308.26/461,341.38 = 254,499.87/x
  3. Step 3: Cross multiply
    308,308.26x = 461,341.38 × 254,499.87
  4. Step 4: Simplify right side
    308,308.26x = 117,411,321,235.62
  5. Step 5: Solve for x
    x = 117,411,321,235.62/308,308.26
  6. Step 6: Final answer
    x = 380,824.44

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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.