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Finding the Fourth Proportional to 280,998.30, 421,351.65 and 103,413.90

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Solution

The fourth proportional to 280,998.30, 421,351.65 and 103,413.90 is: 155,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,998.30 : 421,351.65 = 103,413.90 : x
  2. Step 2: Convert to fraction form
    280,998.30/421,351.65 = 103,413.90/x
  3. Step 3: Cross multiply
    280,998.30x = 421,351.65 × 103,413.90
  4. Step 4: Simplify right side
    280,998.30x = 43,573,617,397.94
  5. Step 5: Solve for x
    x = 43,573,617,397.94/280,998.30
  6. Step 6: Final answer
    x = 155,067.19

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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.