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Finding the Fourth Proportional to 405,413.04, 559,469.91 and 221,652.27

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Solution

The fourth proportional to 405,413.04, 559,469.91 and 221,652.27 is: 305,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,413.04 : 559,469.91 = 221,652.27 : x
  2. Step 2: Convert to fraction form
    405,413.04/559,469.91 = 221,652.27/x
  3. Step 3: Cross multiply
    405,413.04x = 559,469.91 × 221,652.27
  4. Step 4: Simplify right side
    405,413.04x = 124,007,775,548.20
  5. Step 5: Solve for x
    x = 124,007,775,548.20/405,413.04
  6. Step 6: Final answer
    x = 305,880.09

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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.