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Finding the Fourth Proportional to 201,208.20, 301,812.30 and 198,097.80

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Solution

The fourth proportional to 201,208.20, 301,812.30 and 198,097.80 is: 297,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208.20 : 301,812.30 = 198,097.80 : x
  2. Step 2: Convert to fraction form
    201,208.20/301,812.30 = 198,097.80/x
  3. Step 3: Cross multiply
    201,208.20x = 301,812.30 × 198,097.80
  4. Step 4: Simplify right side
    201,208.20x = 59,788,352,642.94
  5. Step 5: Solve for x
    x = 59,788,352,642.94/201,208.20
  6. Step 6: Final answer
    x = 297,146.70

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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.