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Finding the Fourth Proportional to 665,093.97, 997,662.42 and 260,270.28

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Solution

The fourth proportional to 665,093.97, 997,662.42 and 260,270.28 is: 390,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,093.97 : 997,662.42 = 260,270.28 : x
  2. Step 2: Convert to fraction form
    665,093.97/997,662.42 = 260,270.28/x
  3. Step 3: Cross multiply
    665,093.97x = 997,662.42 × 260,270.28
  4. Step 4: Simplify right side
    665,093.97x = 259,661,877,398.88
  5. Step 5: Solve for x
    x = 259,661,877,398.88/665,093.97
  6. Step 6: Final answer
    x = 390,413.82

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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.