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Finding the Fourth Proportional to 180,612, 270,918 and 49,284

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Solution

The fourth proportional to 180,612, 270,918 and 49,284 is: 73,926

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,612 : 270,918 = 49,284 : x
  2. Step 2: Convert to fraction form
    180,612/270,918 = 49,284/x
  3. Step 3: Cross multiply
    180,612x = 270,918 × 49,284
  4. Step 4: Simplify right side
    180,612x = 13,351,922,712
  5. Step 5: Solve for x
    x = 13,351,922,712/180,612
  6. Step 6: Final answer
    x = 73,926

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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.