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Finding the Fourth Proportional to 769,679.26, 1,062,159 and 430,147.50

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Solution

The fourth proportional to 769,679.26, 1,062,159 and 430,147.50 is: 593,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,679.26 : 1,062,159 = 430,147.50 : x
  2. Step 2: Convert to fraction form
    769,679.26/1,062,159 = 430,147.50/x
  3. Step 3: Cross multiply
    769,679.26x = 1,062,159 × 430,147.50
  4. Step 4: Simplify right side
    769,679.26x = 456,885,038,452.50
  5. Step 5: Solve for x
    x = 456,885,038,452.50/769,679.26
  6. Step 6: Final answer
    x = 593,604.46

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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.