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Finding the Fourth Proportional to 523,703.50, 722,741.79 and 394,413.93

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Solution

The fourth proportional to 523,703.50, 722,741.79 and 394,413.93 is: 544,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,703.50 : 722,741.79 = 394,413.93 : x
  2. Step 2: Convert to fraction form
    523,703.50/722,741.79 = 394,413.93/x
  3. Step 3: Cross multiply
    523,703.50x = 722,741.79 × 394,413.93
  4. Step 4: Simplify right side
    523,703.50x = 285,059,429,769.14
  5. Step 5: Solve for x
    x = 285,059,429,769.14/523,703.50
  6. Step 6: Final answer
    x = 544,314.55

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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.