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Finding the Fourth Proportional to 260,197, 359,072.46 and 145,479.73

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Solution

The fourth proportional to 260,197, 359,072.46 and 145,479.73 is: 200,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,197 : 359,072.46 = 145,479.73 : x
  2. Step 2: Convert to fraction form
    260,197/359,072.46 = 145,479.73/x
  3. Step 3: Cross multiply
    260,197x = 359,072.46 × 145,479.73
  4. Step 4: Simplify right side
    260,197x = 52,237,764,531.24
  5. Step 5: Solve for x
    x = 52,237,764,531.24/260,197
  6. Step 6: Final answer
    x = 200,762.36

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1.5x scale

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.