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Finding the Fourth Proportional to 329,457.60, 494,182.08 and 80,139.84

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Solution

The fourth proportional to 329,457.60, 494,182.08 and 80,139.84 is: 120,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,457.60 : 494,182.08 = 80,139.84 : x
  2. Step 2: Convert to fraction form
    329,457.60/494,182.08 = 80,139.84/x
  3. Step 3: Cross multiply
    329,457.60x = 494,182.08 × 80,139.84
  4. Step 4: Simplify right side
    329,457.60x = 39,603,672,822.07
  5. Step 5: Solve for x
    x = 39,603,672,822.07/329,457.60
  6. Step 6: Final answer
    x = 120,208.71

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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.