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Finding the Fourth Proportional to 7,978,695.40, 11,975,559.90 and 4,194,893.80

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Solution

The fourth proportional to 7,978,695.40, 11,975,559.90 and 4,194,893.80 is: 6,296,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,695.40 : 11,975,559.90 = 4,194,893.80 : x
  2. Step 2: Convert to fraction form
    7,978,695.40/11,975,559.90 = 4,194,893.80/x
  3. Step 3: Cross multiply
    7,978,695.40x = 11,975,559.90 × 4,194,893.80
  4. Step 4: Simplify right side
    7,978,695.40x = 50,236,201,976,038.62
  5. Step 5: Solve for x
    x = 50,236,201,976,038.62/7,978,695.40
  6. Step 6: Final answer
    x = 6,296,292.75

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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.