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Finding the Fourth Proportional to 280,920, 421,421.94 and 103,413.36

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Solution

The fourth proportional to 280,920, 421,421.94 and 103,413.36 is: 155,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,920 : 421,421.94 = 103,413.36 : x
  2. Step 2: Convert to fraction form
    280,920/421,421.94 = 103,413.36/x
  3. Step 3: Cross multiply
    280,920x = 421,421.94 × 103,413.36
  4. Step 4: Simplify right side
    280,920x = 43,580,658,793.12
  5. Step 5: Solve for x
    x = 43,580,658,793.12/280,920
  6. Step 6: Final answer
    x = 155,135.48

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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.