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Finding the Fourth Proportional to 499,644.53, 749,097.43 and 259,413.51

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Solution

The fourth proportional to 499,644.53, 749,097.43 and 259,413.51 is: 388,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,644.53 : 749,097.43 = 259,413.51 : x
  2. Step 2: Convert to fraction form
    499,644.53/749,097.43 = 259,413.51/x
  3. Step 3: Cross multiply
    499,644.53x = 749,097.43 × 259,413.51
  4. Step 4: Simplify right side
    499,644.53x = 194,325,992,999.75
  5. Step 5: Solve for x
    x = 194,325,992,999.75/499,644.53
  6. Step 6: Final answer
    x = 388,928.49

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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.