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Finding the Fourth Proportional to 309,975.97, 427,760.53 and 172,147.59

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Solution

The fourth proportional to 309,975.97, 427,760.53 and 172,147.59 is: 237,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,975.97 : 427,760.53 = 172,147.59 : x
  2. Step 2: Convert to fraction form
    309,975.97/427,760.53 = 172,147.59/x
  3. Step 3: Cross multiply
    309,975.97x = 427,760.53 × 172,147.59
  4. Step 4: Simplify right side
    309,975.97x = 73,637,944,336.62
  5. Step 5: Solve for x
    x = 73,637,944,336.62/309,975.97
  6. Step 6: Final answer
    x = 237,560.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.