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Finding the Fourth Proportional to 329,598, 494,103.80 and 119,189.20

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Solution

The fourth proportional to 329,598, 494,103.80 and 119,189.20 is: 178,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,598 : 494,103.80 = 119,189.20 : x
  2. Step 2: Convert to fraction form
    329,598/494,103.80 = 119,189.20/x
  3. Step 3: Cross multiply
    329,598x = 494,103.80 × 119,189.20
  4. Step 4: Simplify right side
    329,598x = 58,891,836,638.96
  5. Step 5: Solve for x
    x = 58,891,836,638.96/329,598
  6. Step 6: Final answer
    x = 178,677.77

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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.