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Finding the Fourth Proportional to 398,339.98, 597,686.61 and 208,755.28

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Solution

The fourth proportional to 398,339.98, 597,686.61 and 208,755.28 is: 313,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,339.98 : 597,686.61 = 208,755.28 : x
  2. Step 2: Convert to fraction form
    398,339.98/597,686.61 = 208,755.28/x
  3. Step 3: Cross multiply
    398,339.98x = 597,686.61 × 208,755.28
  4. Step 4: Simplify right side
    398,339.98x = 124,770,235,622.80
  5. Step 5: Solve for x
    x = 124,770,235,622.80/398,339.98
  6. Step 6: Final answer
    x = 313,225.49

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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.