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Finding the Fourth Proportional to 453,902.10, 680,853.15 and 419,687.70

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Solution

The fourth proportional to 453,902.10, 680,853.15 and 419,687.70 is: 629,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,902.10 : 680,853.15 = 419,687.70 : x
  2. Step 2: Convert to fraction form
    453,902.10/680,853.15 = 419,687.70/x
  3. Step 3: Cross multiply
    453,902.10x = 680,853.15 × 419,687.70
  4. Step 4: Simplify right side
    453,902.10x = 285,745,692,561.26
  5. Step 5: Solve for x
    x = 285,745,692,561.26/453,902.10
  6. Step 6: Final answer
    x = 629,531.55

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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.