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Finding the Fourth Proportional to 299,114, 412,806.48 and 164,978

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Solution

The fourth proportional to 299,114, 412,806.48 and 164,978 is: 227,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,114 : 412,806.48 = 164,978 : x
  2. Step 2: Convert to fraction form
    299,114/412,806.48 = 164,978/x
  3. Step 3: Cross multiply
    299,114x = 412,806.48 × 164,978
  4. Step 4: Simplify right side
    299,114x = 68,103,987,457.44
  5. Step 5: Solve for x
    x = 68,103,987,457.44/299,114
  6. Step 6: Final answer
    x = 227,685.72

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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.