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Finding the Fourth Proportional to 329,619, 494,403.66 and 104,970.36

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Solution

The fourth proportional to 329,619, 494,403.66 and 104,970.36 is: 157,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,619 : 494,403.66 = 104,970.36 : x
  2. Step 2: Convert to fraction form
    329,619/494,403.66 = 104,970.36/x
  3. Step 3: Cross multiply
    329,619x = 494,403.66 × 104,970.36
  4. Step 4: Simplify right side
    329,619x = 51,897,730,175.52
  5. Step 5: Solve for x
    x = 51,897,730,175.52/329,619
  6. Step 6: Final answer
    x = 157,447.63

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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.