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Finding the Fourth Proportional to 281,464.80, 422,051.40 and 103,880.40

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Solution

The fourth proportional to 281,464.80, 422,051.40 and 103,880.40 is: 155,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,464.80 : 422,051.40 = 103,880.40 : x
  2. Step 2: Convert to fraction form
    281,464.80/422,051.40 = 103,880.40/x
  3. Step 3: Cross multiply
    281,464.80x = 422,051.40 × 103,880.40
  4. Step 4: Simplify right side
    281,464.80x = 43,842,868,252.56
  5. Step 5: Solve for x
    x = 43,842,868,252.56/281,464.80
  6. Step 6: Final answer
    x = 155,766.79

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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.