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Finding the Fourth Proportional to 381,696.20, 572,544.30 and 339,705.80

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Solution

The fourth proportional to 381,696.20, 572,544.30 and 339,705.80 is: 509,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,696.20 : 572,544.30 = 339,705.80 : x
  2. Step 2: Convert to fraction form
    381,696.20/572,544.30 = 339,705.80/x
  3. Step 3: Cross multiply
    381,696.20x = 572,544.30 × 339,705.80
  4. Step 4: Simplify right side
    381,696.20x = 194,496,619,466.94
  5. Step 5: Solve for x
    x = 194,496,619,466.94/381,696.20
  6. Step 6: Final answer
    x = 509,558.70

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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.