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Finding the Fourth Proportional to 305,395.70, 421,448.61 and 169,438.57

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Solution

The fourth proportional to 305,395.70, 421,448.61 and 169,438.57 is: 233,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,395.70 : 421,448.61 = 169,438.57 : x
  2. Step 2: Convert to fraction form
    305,395.70/421,448.61 = 169,438.57/x
  3. Step 3: Cross multiply
    305,395.70x = 421,448.61 × 169,438.57
  4. Step 4: Simplify right side
    305,395.70x = 71,409,649,806.89
  5. Step 5: Solve for x
    x = 71,409,649,806.89/305,395.70
  6. Step 6: Final answer
    x = 233,826.64

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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.