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Finding the Fourth Proportional to 299,139, 412,840.98 and 165,003

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Solution

The fourth proportional to 299,139, 412,840.98 and 165,003 is: 227,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,139 : 412,840.98 = 165,003 : x
  2. Step 2: Convert to fraction form
    299,139/412,840.98 = 165,003/x
  3. Step 3: Cross multiply
    299,139x = 412,840.98 × 165,003
  4. Step 4: Simplify right side
    299,139x = 68,120,000,222.94
  5. Step 5: Solve for x
    x = 68,120,000,222.94/299,139
  6. Step 6: Final answer
    x = 227,720.22

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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.