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Finding the Fourth Proportional to 274,413.18, 411,693.66 and 141,220.86

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Solution

The fourth proportional to 274,413.18, 411,693.66 and 141,220.86 is: 211,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,413.18 : 411,693.66 = 141,220.86 : x
  2. Step 2: Convert to fraction form
    274,413.18/411,693.66 = 141,220.86/x
  3. Step 3: Cross multiply
    274,413.18x = 411,693.66 × 141,220.86
  4. Step 4: Simplify right side
    274,413.18x = 58,139,732,721.75
  5. Step 5: Solve for x
    x = 58,139,732,721.75/274,413.18
  6. Step 6: Final answer
    x = 211,869.32

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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.