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Finding the Fourth Proportional to 281,570.74, 422,352.58 and 68,340.42

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Solution

The fourth proportional to 281,570.74, 422,352.58 and 68,340.42 is: 102,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,570.74 : 422,352.58 = 68,340.42 : x
  2. Step 2: Convert to fraction form
    281,570.74/422,352.58 = 68,340.42/x
  3. Step 3: Cross multiply
    281,570.74x = 422,352.58 × 68,340.42
  4. Step 4: Simplify right side
    281,570.74x = 28,863,752,705.28
  5. Step 5: Solve for x
    x = 28,863,752,705.28/281,570.74
  6. Step 6: Final answer
    x = 102,509.77

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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.