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Finding the Fourth Proportional to 260,478.44, 359,448 and 145,771.65

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Solution

The fourth proportional to 260,478.44, 359,448 and 145,771.65 is: 201,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,478.44 : 359,448 = 145,771.65 : x
  2. Step 2: Convert to fraction form
    260,478.44/359,448 = 145,771.65/x
  3. Step 3: Cross multiply
    260,478.44x = 359,448 × 145,771.65
  4. Step 4: Simplify right side
    260,478.44x = 52,397,328,049.20
  5. Step 5: Solve for x
    x = 52,397,328,049.20/260,478.44
  6. Step 6: Final answer
    x = 201,158.03

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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.