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Finding the Fourth Proportional to 329,768.64, 494,688.80 and 105,076.26

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Solution

The fourth proportional to 329,768.64, 494,688.80 and 105,076.26 is: 157,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,768.64 : 494,688.80 = 105,076.26 : x
  2. Step 2: Convert to fraction form
    329,768.64/494,688.80 = 105,076.26/x
  3. Step 3: Cross multiply
    329,768.64x = 494,688.80 × 105,076.26
  4. Step 4: Simplify right side
    329,768.64x = 51,980,049,230.58
  5. Step 5: Solve for x
    x = 51,980,049,230.58/329,768.64
  6. Step 6: Final answer
    x = 157,625.81

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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.