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Finding the Fourth Proportional to 280,672.88, 420,725.64 and 120,853.04

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Solution

The fourth proportional to 280,672.88, 420,725.64 and 120,853.04 is: 181,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,672.88 : 420,725.64 = 120,853.04 : x
  2. Step 2: Convert to fraction form
    280,672.88/420,725.64 = 120,853.04/x
  3. Step 3: Cross multiply
    280,672.88x = 420,725.64 × 120,853.04
  4. Step 4: Simplify right side
    280,672.88x = 50,845,972,599.95
  5. Step 5: Solve for x
    x = 50,845,972,599.95/280,672.88
  6. Step 6: Final answer
    x = 181,157.41

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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.