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Finding the Fourth Proportional to 281,495.70, 422,315.55 and 198,551.70

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Solution

The fourth proportional to 281,495.70, 422,315.55 and 198,551.70 is: 297,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,495.70 : 422,315.55 = 198,551.70 : x
  2. Step 2: Convert to fraction form
    281,495.70/422,315.55 = 198,551.70/x
  3. Step 3: Cross multiply
    281,495.70x = 422,315.55 × 198,551.70
  4. Step 4: Simplify right side
    281,495.70x = 83,851,470,388.94
  5. Step 5: Solve for x
    x = 83,851,470,388.94/281,495.70
  6. Step 6: Final answer
    x = 297,878.33

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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.