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Finding the Fourth Proportional to 667,413.84, 1,001,112.42 and 161,979

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Solution

The fourth proportional to 667,413.84, 1,001,112.42 and 161,979 is: 242,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,413.84 : 1,001,112.42 = 161,979 : x
  2. Step 2: Convert to fraction form
    667,413.84/1,001,112.42 = 161,979/x
  3. Step 3: Cross multiply
    667,413.84x = 1,001,112.42 × 161,979
  4. Step 4: Simplify right side
    667,413.84x = 162,159,188,679.18
  5. Step 5: Solve for x
    x = 162,159,188,679.18/667,413.84
  6. Step 6: Final answer
    x = 242,966.48

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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.