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Finding the Fourth Proportional to 281,505.70, 422,330.55 and 198,561.70

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Solution

The fourth proportional to 281,505.70, 422,330.55 and 198,561.70 is: 297,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,505.70 : 422,330.55 = 198,561.70 : x
  2. Step 2: Convert to fraction form
    281,505.70/422,330.55 = 198,561.70/x
  3. Step 3: Cross multiply
    281,505.70x = 422,330.55 × 198,561.70
  4. Step 4: Simplify right side
    281,505.70x = 83,858,671,969.94
  5. Step 5: Solve for x
    x = 83,858,671,969.94/281,505.70
  6. Step 6: Final answer
    x = 297,893.34

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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.