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Finding the Fourth Proportional to 281,630.84, 422,442.58 and 68,400.50

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Solution

The fourth proportional to 281,630.84, 422,442.58 and 68,400.50 is: 102,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,630.84 : 422,442.58 = 68,400.50 : x
  2. Step 2: Convert to fraction form
    281,630.84/422,442.58 = 68,400.50/x
  3. Step 3: Cross multiply
    281,630.84x = 422,442.58 × 68,400.50
  4. Step 4: Simplify right side
    281,630.84x = 28,895,283,693.29
  5. Step 5: Solve for x
    x = 28,895,283,693.29/281,630.84
  6. Step 6: Final answer
    x = 102,599.86

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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.