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Finding the Fourth Proportional to 218,028.03, 300,970.95 and 204,408.49

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Solution

The fourth proportional to 218,028.03, 300,970.95 and 204,408.49 is: 282,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,028.03 : 300,970.95 = 204,408.49 : x
  2. Step 2: Convert to fraction form
    218,028.03/300,970.95 = 204,408.49/x
  3. Step 3: Cross multiply
    218,028.03x = 300,970.95 × 204,408.49
  4. Step 4: Simplify right side
    218,028.03x = 61,521,017,059.49
  5. Step 5: Solve for x
    x = 61,521,017,059.49/218,028.03
  6. Step 6: Final answer
    x = 282,170.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.