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Finding the Fourth Proportional to 329,860.08, 494,396.40 and 180,138

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Solution

The fourth proportional to 329,860.08, 494,396.40 and 180,138 is: 269,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,860.08 : 494,396.40 = 180,138 : x
  2. Step 2: Convert to fraction form
    329,860.08/494,396.40 = 180,138/x
  3. Step 3: Cross multiply
    329,860.08x = 494,396.40 × 180,138
  4. Step 4: Simplify right side
    329,860.08x = 89,059,578,703.20
  5. Step 5: Solve for x
    x = 89,059,578,703.20/329,860.08
  6. Step 6: Final answer
    x = 269,991.99

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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.