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Finding the Fourth Proportional to 550,413.78, 825,702.75 and 195,398.07

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Solution

The fourth proportional to 550,413.78, 825,702.75 and 195,398.07 is: 293,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,413.78 : 825,702.75 = 195,398.07 : x
  2. Step 2: Convert to fraction form
    550,413.78/825,702.75 = 195,398.07/x
  3. Step 3: Cross multiply
    550,413.78x = 825,702.75 × 195,398.07
  4. Step 4: Simplify right side
    550,413.78x = 161,340,723,743.69
  5. Step 5: Solve for x
    x = 161,340,723,743.69/550,413.78
  6. Step 6: Final answer
    x = 293,126.24

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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.