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Finding the Fourth Proportional to 512,447.40, 768,999.15 and 299,214.90

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Solution

The fourth proportional to 512,447.40, 768,999.15 and 299,214.90 is: 449,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,447.40 : 768,999.15 = 299,214.90 : x
  2. Step 2: Convert to fraction form
    512,447.40/768,999.15 = 299,214.90/x
  3. Step 3: Cross multiply
    512,447.40x = 768,999.15 × 299,214.90
  4. Step 4: Simplify right side
    512,447.40x = 230,096,003,767.34
  5. Step 5: Solve for x
    x = 230,096,003,767.34/512,447.40
  6. Step 6: Final answer
    x = 449,013.90

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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.