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Finding the Fourth Proportional to 389,694.63, 537,731.17 and 217,622.16

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Solution

The fourth proportional to 389,694.63, 537,731.17 and 217,622.16 is: 300,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,694.63 : 537,731.17 = 217,622.16 : x
  2. Step 2: Convert to fraction form
    389,694.63/537,731.17 = 217,622.16/x
  3. Step 3: Cross multiply
    389,694.63x = 537,731.17 × 217,622.16
  4. Step 4: Simplify right side
    389,694.63x = 117,022,216,208.15
  5. Step 5: Solve for x
    x = 117,022,216,208.15/389,694.63
  6. Step 6: Final answer
    x = 300,292.09

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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.