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Finding the Fourth Proportional to 309,963.80, 427,764.25 and 172,143.36

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Solution

The fourth proportional to 309,963.80, 427,764.25 and 172,143.36 is: 237,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,963.80 : 427,764.25 = 172,143.36 : x
  2. Step 2: Convert to fraction form
    309,963.80/427,764.25 = 172,143.36/x
  3. Step 3: Cross multiply
    309,963.80x = 427,764.25 × 172,143.36
  4. Step 4: Simplify right side
    309,963.80x = 73,636,773,893.94
  5. Step 5: Solve for x
    x = 73,636,773,893.94/309,963.80
  6. Step 6: Final answer
    x = 237,565.72

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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.