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Finding the Fourth Proportional to 260,620, 359,653.17 and 147,442.75

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Solution

The fourth proportional to 260,620, 359,653.17 and 147,442.75 is: 203,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,620 : 359,653.17 = 147,442.75 : x
  2. Step 2: Convert to fraction form
    260,620/359,653.17 = 147,442.75/x
  3. Step 3: Cross multiply
    260,620x = 359,653.17 × 147,442.75
  4. Step 4: Simplify right side
    260,620x = 53,028,252,431.02
  5. Step 5: Solve for x
    x = 53,028,252,431.02/260,620
  6. Step 6: Final answer
    x = 203,469.62

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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.