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Finding the Fourth Proportional to 493,413.09, 680,915.82 and 289,467.51

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Solution

The fourth proportional to 493,413.09, 680,915.82 and 289,467.51 is: 399,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,413.09 : 680,915.82 = 289,467.51 : x
  2. Step 2: Convert to fraction form
    493,413.09/680,915.82 = 289,467.51/x
  3. Step 3: Cross multiply
    493,413.09x = 680,915.82 × 289,467.51
  4. Step 4: Simplify right side
    493,413.09x = 197,103,006,935.01
  5. Step 5: Solve for x
    x = 197,103,006,935.01/493,413.09
  6. Step 6: Final answer
    x = 399,468.54

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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.