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Finding the Fourth Proportional to 305,084.56, 421,017.24 and 169,120.60

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Solution

The fourth proportional to 305,084.56, 421,017.24 and 169,120.60 is: 233,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,084.56 : 421,017.24 = 169,120.60 : x
  2. Step 2: Convert to fraction form
    305,084.56/421,017.24 = 169,120.60/x
  3. Step 3: Cross multiply
    305,084.56x = 421,017.24 × 169,120.60
  4. Step 4: Simplify right side
    305,084.56x = 71,202,688,239.14
  5. Step 5: Solve for x
    x = 71,202,688,239.14/305,084.56
  6. Step 6: Final answer
    x = 233,386.73

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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.