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Finding the Fourth Proportional to 201,428.80, 301,815.15 and 148,284.70

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Solution

The fourth proportional to 201,428.80, 301,815.15 and 148,284.70 is: 222,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,428.80 : 301,815.15 = 148,284.70 : x
  2. Step 2: Convert to fraction form
    201,428.80/301,815.15 = 148,284.70/x
  3. Step 3: Cross multiply
    201,428.80x = 301,815.15 × 148,284.70
  4. Step 4: Simplify right side
    201,428.80x = 44,754,568,973.21
  5. Step 5: Solve for x
    x = 44,754,568,973.21/201,428.80
  6. Step 6: Final answer
    x = 222,185.55

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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.