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Finding the Fourth Proportional to 647,628.21, 971,409.51 and 226,871.28

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Solution

The fourth proportional to 647,628.21, 971,409.51 and 226,871.28 is: 340,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,628.21 : 971,409.51 = 226,871.28 : x
  2. Step 2: Convert to fraction form
    647,628.21/971,409.51 = 226,871.28/x
  3. Step 3: Cross multiply
    647,628.21x = 971,409.51 × 226,871.28
  4. Step 4: Simplify right side
    647,628.21x = 220,384,918,937.87
  5. Step 5: Solve for x
    x = 220,384,918,937.87/647,628.21
  6. Step 6: Final answer
    x = 340,295.43

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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.