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Finding the Fourth Proportional to 308,200, 425,316 and 166,888

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Solution

The fourth proportional to 308,200, 425,316 and 166,888 is: 230,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,200 : 425,316 = 166,888 : x
  2. Step 2: Convert to fraction form
    308,200/425,316 = 166,888/x
  3. Step 3: Cross multiply
    308,200x = 425,316 × 166,888
  4. Step 4: Simplify right side
    308,200x = 70,980,136,608
  5. Step 5: Solve for x
    x = 70,980,136,608/308,200
  6. Step 6: Final answer
    x = 230,305.44

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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.