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Finding the Fourth Proportional to 329,705.40, 494,558.10 and 276,561.30

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Solution

The fourth proportional to 329,705.40, 494,558.10 and 276,561.30 is: 414,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,705.40 : 494,558.10 = 276,561.30 : x
  2. Step 2: Convert to fraction form
    329,705.40/494,558.10 = 276,561.30/x
  3. Step 3: Cross multiply
    329,705.40x = 494,558.10 × 276,561.30
  4. Step 4: Simplify right side
    329,705.40x = 136,775,631,061.53
  5. Step 5: Solve for x
    x = 136,775,631,061.53/329,705.40
  6. Step 6: Final answer
    x = 414,841.95

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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.