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Finding the Fourth Proportional to 443,622.54, 664,804.77 and 343,315.80

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Solution

The fourth proportional to 443,622.54, 664,804.77 and 343,315.80 is: 514,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,622.54 : 664,804.77 = 343,315.80 : x
  2. Step 2: Convert to fraction form
    443,622.54/664,804.77 = 343,315.80/x
  3. Step 3: Cross multiply
    443,622.54x = 664,804.77 × 343,315.80
  4. Step 4: Simplify right side
    443,622.54x = 228,237,981,456.37
  5. Step 5: Solve for x
    x = 228,237,981,456.37/443,622.54
  6. Step 6: Final answer
    x = 514,486.89

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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.