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Finding the Fourth Proportional to 393,174, 589,761 and 97,686

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Solution

The fourth proportional to 393,174, 589,761 and 97,686 is: 146,529

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,174 : 589,761 = 97,686 : x
  2. Step 2: Convert to fraction form
    393,174/589,761 = 97,686/x
  3. Step 3: Cross multiply
    393,174x = 589,761 × 97,686
  4. Step 4: Simplify right side
    393,174x = 57,611,393,046
  5. Step 5: Solve for x
    x = 57,611,393,046/393,174
  6. Step 6: Final answer
    x = 146,529

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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.