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Finding the Fourth Proportional to 393,622.70, 590,491.65 and 206,648.30

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Solution

The fourth proportional to 393,622.70, 590,491.65 and 206,648.30 is: 310,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,622.70 : 590,491.65 = 206,648.30 : x
  2. Step 2: Convert to fraction form
    393,622.70/590,491.65 = 206,648.30/x
  3. Step 3: Cross multiply
    393,622.70x = 590,491.65 × 206,648.30
  4. Step 4: Simplify right side
    393,622.70x = 122,024,095,636.70
  5. Step 5: Solve for x
    x = 122,024,095,636.70/393,622.70
  6. Step 6: Final answer
    x = 310,002.69

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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.