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Finding the Fourth Proportional to 329,378.40, 494,096.85 and 137,210.40

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Solution

The fourth proportional to 329,378.40, 494,096.85 and 137,210.40 is: 205,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,378.40 : 494,096.85 = 137,210.40 : x
  2. Step 2: Convert to fraction form
    329,378.40/494,096.85 = 137,210.40/x
  3. Step 3: Cross multiply
    329,378.40x = 494,096.85 × 137,210.40
  4. Step 4: Simplify right side
    329,378.40x = 67,795,226,427.24
  5. Step 5: Solve for x
    x = 67,795,226,427.24/329,378.40
  6. Step 6: Final answer
    x = 205,827.78

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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.