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Finding the Fourth Proportional to 258,413.72, 356,582.36 and 155,042.42

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Solution

The fourth proportional to 258,413.72, 356,582.36 and 155,042.42 is: 213,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,413.72 : 356,582.36 = 155,042.42 : x
  2. Step 2: Convert to fraction form
    258,413.72/356,582.36 = 155,042.42/x
  3. Step 3: Cross multiply
    258,413.72x = 356,582.36 × 155,042.42
  4. Step 4: Simplify right side
    258,413.72x = 55,285,393,302.77
  5. Step 5: Solve for x
    x = 55,285,393,302.77/258,413.72
  6. Step 6: Final answer
    x = 213,941.41

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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.