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Finding the Fourth Proportional to 389,940.63, 584,910.94 and 140,622.63

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Solution

The fourth proportional to 389,940.63, 584,910.94 and 140,622.63 is: 210,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,940.63 : 584,910.94 = 140,622.63 : x
  2. Step 2: Convert to fraction form
    389,940.63/584,910.94 = 140,622.63/x
  3. Step 3: Cross multiply
    389,940.63x = 584,910.94 × 140,622.63
  4. Step 4: Simplify right side
    389,940.63x = 82,251,714,698.57
  5. Step 5: Solve for x
    x = 82,251,714,698.57/389,940.63
  6. Step 6: Final answer
    x = 210,933.94

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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.