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Finding the Fourth Proportional to 271,918.97, 407,888.69 and 103,407.88

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Solution

The fourth proportional to 271,918.97, 407,888.69 and 103,407.88 is: 155,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,918.97 : 407,888.69 = 103,407.88 : x
  2. Step 2: Convert to fraction form
    271,918.97/407,888.69 = 103,407.88/x
  3. Step 3: Cross multiply
    271,918.97x = 407,888.69 × 103,407.88
  4. Step 4: Simplify right side
    271,918.97x = 42,178,904,708.88
  5. Step 5: Solve for x
    x = 42,178,904,708.88/271,918.97
  6. Step 6: Final answer
    x = 155,115.71

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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.