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Finding the Fourth Proportional to 279,087.54, 385,094.09 and 164,389.02

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Solution

The fourth proportional to 279,087.54, 385,094.09 and 164,389.02 is: 226,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,087.54 : 385,094.09 = 164,389.02 : x
  2. Step 2: Convert to fraction form
    279,087.54/385,094.09 = 164,389.02/x
  3. Step 3: Cross multiply
    279,087.54x = 385,094.09 × 164,389.02
  4. Step 4: Simplify right side
    279,087.54x = 63,305,239,240.95
  5. Step 5: Solve for x
    x = 63,305,239,240.95/279,087.54
  6. Step 6: Final answer
    x = 226,829.33

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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.