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Finding the Fourth Proportional to 406,158, 609,237 and 110,670

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Solution

The fourth proportional to 406,158, 609,237 and 110,670 is: 166,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,158 : 609,237 = 110,670 : x
  2. Step 2: Convert to fraction form
    406,158/609,237 = 110,670/x
  3. Step 3: Cross multiply
    406,158x = 609,237 × 110,670
  4. Step 4: Simplify right side
    406,158x = 67,424,258,790
  5. Step 5: Solve for x
    x = 67,424,258,790/406,158
  6. Step 6: Final answer
    x = 166,005

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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.