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Finding the Fourth Proportional to 647,911.44, 972,162.54 and 332,589.96

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Solution

The fourth proportional to 647,911.44, 972,162.54 and 332,589.96 is: 499,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,911.44 : 972,162.54 = 332,589.96 : x
  2. Step 2: Convert to fraction form
    647,911.44/972,162.54 = 332,589.96/x
  3. Step 3: Cross multiply
    647,911.44x = 972,162.54 × 332,589.96
  4. Step 4: Simplify right side
    647,911.44x = 323,331,500,292.10
  5. Step 5: Solve for x
    x = 323,331,500,292.10/647,911.44
  6. Step 6: Final answer
    x = 499,036.57

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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.