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Finding the Fourth Proportional to 526,382.67, 726,413.81 and 284,669.96

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Solution

The fourth proportional to 526,382.67, 726,413.81 and 284,669.96 is: 392,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,382.67 : 726,413.81 = 284,669.96 : x
  2. Step 2: Convert to fraction form
    526,382.67/726,413.81 = 284,669.96/x
  3. Step 3: Cross multiply
    526,382.67x = 726,413.81 × 284,669.96
  4. Step 4: Simplify right side
    526,382.67x = 206,788,189,131.79
  5. Step 5: Solve for x
    x = 206,788,189,131.79/526,382.67
  6. Step 6: Final answer
    x = 392,847.64

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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.