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Finding the Fourth Proportional to 303,160.12, 418,370.88 and 167,200

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Solution

The fourth proportional to 303,160.12, 418,370.88 and 167,200 is: 230,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,160.12 : 418,370.88 = 167,200 : x
  2. Step 2: Convert to fraction form
    303,160.12/418,370.88 = 167,200/x
  3. Step 3: Cross multiply
    303,160.12x = 418,370.88 × 167,200
  4. Step 4: Simplify right side
    303,160.12x = 69,951,611,136
  5. Step 5: Solve for x
    x = 69,951,611,136/303,160.12
  6. Step 6: Final answer
    x = 230,741.47

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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.