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Finding the Fourth Proportional to 393,135.64, 542,396.67 and 320,413.48

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Solution

The fourth proportional to 393,135.64, 542,396.67 and 320,413.48 is: 442,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,135.64 : 542,396.67 = 320,413.48 : x
  2. Step 2: Convert to fraction form
    393,135.64/542,396.67 = 320,413.48/x
  3. Step 3: Cross multiply
    393,135.64x = 542,396.67 × 320,413.48
  4. Step 4: Simplify right side
    393,135.64x = 173,791,206,454.66
  5. Step 5: Solve for x
    x = 173,791,206,454.66/393,135.64
  6. Step 6: Final answer
    x = 442,064.24

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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.