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Finding the Fourth Proportional to 299,413.29, 449,354.57 and 208,867.05

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Solution

The fourth proportional to 299,413.29, 449,354.57 and 208,867.05 is: 313,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,413.29 : 449,354.57 = 208,867.05 : x
  2. Step 2: Convert to fraction form
    299,413.29/449,354.57 = 208,867.05/x
  3. Step 3: Cross multiply
    299,413.29x = 449,354.57 × 208,867.05
  4. Step 4: Simplify right side
    299,413.29x = 93,855,363,439.92
  5. Step 5: Solve for x
    x = 93,855,363,439.92/299,413.29
  6. Step 6: Final answer
    x = 313,464.25

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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.