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Finding the Fourth Proportional to 309,963.93, 427,764.43 and 172,143.48

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Solution

The fourth proportional to 309,963.93, 427,764.43 and 172,143.48 is: 237,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,963.93 : 427,764.43 = 172,143.48 : x
  2. Step 2: Convert to fraction form
    309,963.93/427,764.43 = 172,143.48/x
  3. Step 3: Cross multiply
    309,963.93x = 427,764.43 × 172,143.48
  4. Step 4: Simplify right side
    309,963.93x = 73,636,856,739.70
  5. Step 5: Solve for x
    x = 73,636,856,739.70/309,963.93
  6. Step 6: Final answer
    x = 237,565.89

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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.