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Finding the Fourth Proportional to 355,446, 490,515.51 and 194,301.70

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Solution

The fourth proportional to 355,446, 490,515.51 and 194,301.70 is: 268,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,446 : 490,515.51 = 194,301.70 : x
  2. Step 2: Convert to fraction form
    355,446/490,515.51 = 194,301.70/x
  3. Step 3: Cross multiply
    355,446x = 490,515.51 × 194,301.70
  4. Step 4: Simplify right side
    355,446x = 95,307,997,469.37
  5. Step 5: Solve for x
    x = 95,307,997,469.37/355,446
  6. Step 6: Final answer
    x = 268,136.36

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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.