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Finding the Fourth Proportional to 398,339.26, 597,685.50 and 208,754.56

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Solution

The fourth proportional to 398,339.26, 597,685.50 and 208,754.56 is: 313,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,339.26 : 597,685.50 = 208,754.56 : x
  2. Step 2: Convert to fraction form
    398,339.26/597,685.50 = 208,754.56/x
  3. Step 3: Cross multiply
    398,339.26x = 597,685.50 × 208,754.56
  4. Step 4: Simplify right side
    398,339.26x = 124,769,573,570.88
  5. Step 5: Solve for x
    x = 124,769,573,570.88/398,339.26
  6. Step 6: Final answer
    x = 313,224.39

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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.