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Finding the Fourth Proportional to 329,796.24, 494,730 and 105,103.86

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Solution

The fourth proportional to 329,796.24, 494,730 and 105,103.86 is: 157,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,796.24 : 494,730 = 105,103.86 : x
  2. Step 2: Convert to fraction form
    329,796.24/494,730 = 105,103.86/x
  3. Step 3: Cross multiply
    329,796.24x = 494,730 × 105,103.86
  4. Step 4: Simplify right side
    329,796.24x = 51,998,032,657.80
  5. Step 5: Solve for x
    x = 51,998,032,657.80/329,796.24
  6. Step 6: Final answer
    x = 157,667.15

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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.