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Finding the Fourth Proportional to 260,377.64, 359,304.22 and 145,636.44

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Solution

The fourth proportional to 260,377.64, 359,304.22 and 145,636.44 is: 200,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,377.64 : 359,304.22 = 145,636.44 : x
  2. Step 2: Convert to fraction form
    260,377.64/359,304.22 = 145,636.44/x
  3. Step 3: Cross multiply
    260,377.64x = 359,304.22 × 145,636.44
  4. Step 4: Simplify right side
    260,377.64x = 52,327,787,477.78
  5. Step 5: Solve for x
    x = 52,327,787,477.78/260,377.64
  6. Step 6: Final answer
    x = 200,968.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.