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Finding the Fourth Proportional to 647,906.94, 972,155.79 and 332,585.46

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Solution

The fourth proportional to 647,906.94, 972,155.79 and 332,585.46 is: 499,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,906.94 : 972,155.79 = 332,585.46 : x
  2. Step 2: Convert to fraction form
    647,906.94/972,155.79 = 332,585.46/x
  3. Step 3: Cross multiply
    647,906.94x = 972,155.79 × 332,585.46
  4. Step 4: Simplify right side
    647,906.94x = 323,324,880,608.81
  5. Step 5: Solve for x
    x = 323,324,880,608.81/647,906.94
  6. Step 6: Final answer
    x = 499,029.82

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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.