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Finding the Fourth Proportional to 640,413.84, 959,857.32 and 298,398.48

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Solution

The fourth proportional to 640,413.84, 959,857.32 and 298,398.48 is: 447,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,413.84 : 959,857.32 = 298,398.48 : x
  2. Step 2: Convert to fraction form
    640,413.84/959,857.32 = 298,398.48/x
  3. Step 3: Cross multiply
    640,413.84x = 959,857.32 × 298,398.48
  4. Step 4: Simplify right side
    640,413.84x = 286,419,965,304.87
  5. Step 5: Solve for x
    x = 286,419,965,304.87/640,413.84
  6. Step 6: Final answer
    x = 447,242.00

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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.