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Finding the Fourth Proportional to 398,218.80, 598,019.40 and 211,594.80

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Solution

The fourth proportional to 398,218.80, 598,019.40 and 211,594.80 is: 317,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,218.80 : 598,019.40 = 211,594.80 : x
  2. Step 2: Convert to fraction form
    398,218.80/598,019.40 = 211,594.80/x
  3. Step 3: Cross multiply
    398,218.80x = 598,019.40 × 211,594.80
  4. Step 4: Simplify right side
    398,218.80x = 126,537,795,339.12
  5. Step 5: Solve for x
    x = 126,537,795,339.12/398,218.80
  6. Step 6: Final answer
    x = 317,759.47

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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.