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Finding the Fourth Proportional to 431,413.48, 646,702.26 and 164,968.84

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Solution

The fourth proportional to 431,413.48, 646,702.26 and 164,968.84 is: 247,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,413.48 : 646,702.26 = 164,968.84 : x
  2. Step 2: Convert to fraction form
    431,413.48/646,702.26 = 164,968.84/x
  3. Step 3: Cross multiply
    431,413.48x = 646,702.26 × 164,968.84
  4. Step 4: Simplify right side
    431,413.48x = 106,685,721,657.58
  5. Step 5: Solve for x
    x = 106,685,721,657.58/431,413.48
  6. Step 6: Final answer
    x = 247,293.44

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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.