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Finding the Fourth Proportional to 443,649.30, 664,489.80 and 384,600.30

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Solution

The fourth proportional to 443,649.30, 664,489.80 and 384,600.30 is: 576,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,649.30 : 664,489.80 = 384,600.30 : x
  2. Step 2: Convert to fraction form
    443,649.30/664,489.80 = 384,600.30/x
  3. Step 3: Cross multiply
    443,649.30x = 664,489.80 × 384,600.30
  4. Step 4: Simplify right side
    443,649.30x = 255,562,976,426.94
  5. Step 5: Solve for x
    x = 255,562,976,426.94/443,649.30
  6. Step 6: Final answer
    x = 576,047.29

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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.