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Finding the Fourth Proportional to 318,722.82, 478,119.26 and 105,413.04

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Solution

The fourth proportional to 318,722.82, 478,119.26 and 105,413.04 is: 158,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,722.82 : 478,119.26 = 105,413.04 : x
  2. Step 2: Convert to fraction form
    318,722.82/478,119.26 = 105,413.04/x
  3. Step 3: Cross multiply
    318,722.82x = 478,119.26 × 105,413.04
  4. Step 4: Simplify right side
    318,722.82x = 50,400,002,754.44
  5. Step 5: Solve for x
    x = 50,400,002,754.44/318,722.82
  6. Step 6: Final answer
    x = 158,131.14

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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.