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Finding the Fourth Proportional to 201,204.80, 301,807.20 and 198,252.35

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Solution

The fourth proportional to 201,204.80, 301,807.20 and 198,252.35 is: 297,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204.80 : 301,807.20 = 198,252.35 : x
  2. Step 2: Convert to fraction form
    201,204.80/301,807.20 = 198,252.35/x
  3. Step 3: Cross multiply
    201,204.80x = 301,807.20 × 198,252.35
  4. Step 4: Simplify right side
    201,204.80x = 59,833,986,646.92
  5. Step 5: Solve for x
    x = 59,833,986,646.92/201,204.80
  6. Step 6: Final answer
    x = 297,378.53

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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.