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Finding the Fourth Proportional to 281,272.14, 422,199.90 and 188,426.70

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Solution

The fourth proportional to 281,272.14, 422,199.90 and 188,426.70 is: 282,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,272.14 : 422,199.90 = 188,426.70 : x
  2. Step 2: Convert to fraction form
    281,272.14/422,199.90 = 188,426.70/x
  3. Step 3: Cross multiply
    281,272.14x = 422,199.90 × 188,426.70
  4. Step 4: Simplify right side
    281,272.14x = 79,553,733,897.33
  5. Step 5: Solve for x
    x = 79,553,733,897.33/281,272.14
  6. Step 6: Final answer
    x = 282,835.46

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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.