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Finding the Fourth Proportional to 200,790.46, 300,784.11 and 120,784.33

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Solution

The fourth proportional to 200,790.46, 300,784.11 and 120,784.33 is: 180,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,790.46 : 300,784.11 = 120,784.33 : x
  2. Step 2: Convert to fraction form
    200,790.46/300,784.11 = 120,784.33/x
  3. Step 3: Cross multiply
    200,790.46x = 300,784.11 × 120,784.33
  4. Step 4: Simplify right side
    200,790.46x = 36,330,007,201.00
  5. Step 5: Solve for x
    x = 36,330,007,201.00/200,790.46
  6. Step 6: Final answer
    x = 180,934.93

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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.