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Finding the Fourth Proportional to 613,413.36, 919,373.98 and 328,403.52

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Solution

The fourth proportional to 613,413.36, 919,373.98 and 328,403.52 is: 492,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,413.36 : 919,373.98 = 328,403.52 : x
  2. Step 2: Convert to fraction form
    613,413.36/919,373.98 = 328,403.52/x
  3. Step 3: Cross multiply
    613,413.36x = 919,373.98 × 328,403.52
  4. Step 4: Simplify right side
    613,413.36x = 301,925,644,989.52
  5. Step 5: Solve for x
    x = 301,925,644,989.52/613,413.36
  6. Step 6: Final answer
    x = 492,205.86

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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.