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Finding the Fourth Proportional to 395,226.98, 545,413.56 and 213,938.36

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Solution

The fourth proportional to 395,226.98, 545,413.56 and 213,938.36 is: 295,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,226.98 : 545,413.56 = 213,938.36 : x
  2. Step 2: Convert to fraction form
    395,226.98/545,413.56 = 213,938.36/x
  3. Step 3: Cross multiply
    395,226.98x = 545,413.56 × 213,938.36
  4. Step 4: Simplify right side
    395,226.98x = 116,684,879,821.09
  5. Step 5: Solve for x
    x = 116,684,879,821.09/395,226.98
  6. Step 6: Final answer
    x = 295,235.11

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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.