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Finding the Fourth Proportional to 305,413.35, 421,456.17 and 169,445.85

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Solution

The fourth proportional to 305,413.35, 421,456.17 and 169,445.85 is: 233,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,413.35 : 421,456.17 = 169,445.85 : x
  2. Step 2: Convert to fraction form
    305,413.35/421,456.17 = 169,445.85/x
  3. Step 3: Cross multiply
    305,413.35x = 421,456.17 × 169,445.85
  4. Step 4: Simplify right side
    305,413.35x = 71,413,998,963.39
  5. Step 5: Solve for x
    x = 71,413,998,963.39/305,413.35
  6. Step 6: Final answer
    x = 233,827.37

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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.