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Finding the Fourth Proportional to 281,344.64, 422,017.64 and 70,982.58

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Solution

The fourth proportional to 281,344.64, 422,017.64 and 70,982.58 is: 106,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,344.64 : 422,017.64 = 70,982.58 : x
  2. Step 2: Convert to fraction form
    281,344.64/422,017.64 = 70,982.58/x
  3. Step 3: Cross multiply
    281,344.64x = 422,017.64 × 70,982.58
  4. Step 4: Simplify right side
    281,344.64x = 29,955,900,411.98
  5. Step 5: Solve for x
    x = 29,955,900,411.98/281,344.64
  6. Step 6: Final answer
    x = 106,474.04

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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.