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Finding the Fourth Proportional to 259,413.48, 357,978.02 and 144,704.12

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Solution

The fourth proportional to 259,413.48, 357,978.02 and 144,704.12 is: 199,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,413.48 : 357,978.02 = 144,704.12 : x
  2. Step 2: Convert to fraction form
    259,413.48/357,978.02 = 144,704.12/x
  3. Step 3: Cross multiply
    259,413.48x = 357,978.02 × 144,704.12
  4. Step 4: Simplify right side
    259,413.48x = 51,800,891,850.03
  5. Step 5: Solve for x
    x = 51,800,891,850.03/259,413.48
  6. Step 6: Final answer
    x = 199,684.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.