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Finding the Fourth Proportional to 809,646.37, 1,214,889.87 and 330,225.90

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Solution

The fourth proportional to 809,646.37, 1,214,889.87 and 330,225.90 is: 495,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,646.37 : 1,214,889.87 = 330,225.90 : x
  2. Step 2: Convert to fraction form
    809,646.37/1,214,889.87 = 330,225.90/x
  3. Step 3: Cross multiply
    809,646.37x = 1,214,889.87 × 330,225.90
  4. Step 4: Simplify right side
    809,646.37x = 401,188,100,721.63
  5. Step 5: Solve for x
    x = 401,188,100,721.63/809,646.37
  6. Step 6: Final answer
    x = 495,510.28

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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.