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Finding the Fourth Proportional to 459,168.72, 686,738.56 and 408,922.08

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Solution

The fourth proportional to 459,168.72, 686,738.56 and 408,922.08 is: 611,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,168.72 : 686,738.56 = 408,922.08 : x
  2. Step 2: Convert to fraction form
    459,168.72/686,738.56 = 408,922.08/x
  3. Step 3: Cross multiply
    459,168.72x = 686,738.56 × 408,922.08
  4. Step 4: Simplify right side
    459,168.72x = 280,822,560,371.41
  5. Step 5: Solve for x
    x = 280,822,560,371.41/459,168.72
  6. Step 6: Final answer
    x = 611,589.05

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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.