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Finding the Fourth Proportional to 305,965.96, 458,696.22 and 135,065.98

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Solution

The fourth proportional to 305,965.96, 458,696.22 and 135,065.98 is: 202,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,965.96 : 458,696.22 = 135,065.98 : x
  2. Step 2: Convert to fraction form
    305,965.96/458,696.22 = 135,065.98/x
  3. Step 3: Cross multiply
    305,965.96x = 458,696.22 × 135,065.98
  4. Step 4: Simplify right side
    305,965.96x = 61,954,254,476.60
  5. Step 5: Solve for x
    x = 61,954,254,476.60/305,965.96
  6. Step 6: Final answer
    x = 202,487.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.