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Finding the Fourth Proportional to 329,866.08, 494,405.40 and 180,144

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Solution

The fourth proportional to 329,866.08, 494,405.40 and 180,144 is: 270,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,866.08 : 494,405.40 = 180,144 : x
  2. Step 2: Convert to fraction form
    329,866.08/494,405.40 = 180,144/x
  3. Step 3: Cross multiply
    329,866.08x = 494,405.40 × 180,144
  4. Step 4: Simplify right side
    329,866.08x = 89,064,166,377.60
  5. Step 5: Solve for x
    x = 89,064,166,377.60/329,866.08
  6. Step 6: Final answer
    x = 270,000.98

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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.