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Finding the Fourth Proportional to 309,650.41, 427,295.62 and 171,836.74

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Solution

The fourth proportional to 309,650.41, 427,295.62 and 171,836.74 is: 237,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,650.41 : 427,295.62 = 171,836.74 : x
  2. Step 2: Convert to fraction form
    309,650.41/427,295.62 = 171,836.74/x
  3. Step 3: Cross multiply
    309,650.41x = 427,295.62 × 171,836.74
  4. Step 4: Simplify right side
    309,650.41x = 73,425,084,859.25
  5. Step 5: Solve for x
    x = 73,425,084,859.25/309,650.41
  6. Step 6: Final answer
    x = 237,122.52

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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.