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Finding the Fourth Proportional to 299,784.90, 449,504.55 and 112,815.30

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Solution

The fourth proportional to 299,784.90, 449,504.55 and 112,815.30 is: 169,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,784.90 : 449,504.55 = 112,815.30 : x
  2. Step 2: Convert to fraction form
    299,784.90/449,504.55 = 112,815.30/x
  3. Step 3: Cross multiply
    299,784.90x = 449,504.55 × 112,815.30
  4. Step 4: Simplify right side
    299,784.90x = 50,710,990,659.62
  5. Step 5: Solve for x
    x = 50,710,990,659.62/299,784.90
  6. Step 6: Final answer
    x = 169,157.92

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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.