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Finding the Fourth Proportional to 305,119.45, 421,089.71 and 169,196.02

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Solution

The fourth proportional to 305,119.45, 421,089.71 and 169,196.02 is: 233,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,119.45 : 421,089.71 = 169,196.02 : x
  2. Step 2: Convert to fraction form
    305,119.45/421,089.71 = 169,196.02/x
  3. Step 3: Cross multiply
    305,119.45x = 421,089.71 × 169,196.02
  4. Step 4: Simplify right side
    305,119.45x = 71,246,701,096.25
  5. Step 5: Solve for x
    x = 71,246,701,096.25/305,119.45
  6. Step 6: Final answer
    x = 233,504.29

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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.