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Finding the Fourth Proportional to 281,622.32, 422,429.83 and 68,391.98

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Solution

The fourth proportional to 281,622.32, 422,429.83 and 68,391.98 is: 102,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,622.32 : 422,429.83 = 68,391.98 : x
  2. Step 2: Convert to fraction form
    281,622.32/422,429.83 = 68,391.98/x
  3. Step 3: Cross multiply
    281,622.32x = 422,429.83 × 68,391.98
  4. Step 4: Simplify right side
    281,622.32x = 28,890,812,170.45
  5. Step 5: Solve for x
    x = 28,890,812,170.45/281,622.32
  6. Step 6: Final answer
    x = 102,587.08

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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.