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Finding the Fourth Proportional to 200,706.32, 301,530 and 189,357.68

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Solution

The fourth proportional to 200,706.32, 301,530 and 189,357.68 is: 284,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,706.32 : 301,530 = 189,357.68 : x
  2. Step 2: Convert to fraction form
    200,706.32/301,530 = 189,357.68/x
  3. Step 3: Cross multiply
    200,706.32x = 301,530 × 189,357.68
  4. Step 4: Simplify right side
    200,706.32x = 57,097,021,250.40
  5. Step 5: Solve for x
    x = 57,097,021,250.40/200,706.32
  6. Step 6: Final answer
    x = 284,480.44

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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.