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Finding the Fourth Proportional to 689,993.06, 952,201.17 and 384,072.80

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Solution

The fourth proportional to 689,993.06, 952,201.17 and 384,072.80 is: 530,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,993.06 : 952,201.17 = 384,072.80 : x
  2. Step 2: Convert to fraction form
    689,993.06/952,201.17 = 384,072.80/x
  3. Step 3: Cross multiply
    689,993.06x = 952,201.17 × 384,072.80
  4. Step 4: Simplify right side
    689,993.06x = 365,714,564,764.17
  5. Step 5: Solve for x
    x = 365,714,564,764.17/689,993.06
  6. Step 6: Final answer
    x = 530,026.44

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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.