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Finding the Fourth Proportional to 216,348.63, 298,559.70 and 120,854.49

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Solution

The fourth proportional to 216,348.63, 298,559.70 and 120,854.49 is: 166,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,348.63 : 298,559.70 = 120,854.49 : x
  2. Step 2: Convert to fraction form
    216,348.63/298,559.70 = 120,854.49/x
  3. Step 3: Cross multiply
    216,348.63x = 298,559.70 × 120,854.49
  4. Step 4: Simplify right side
    216,348.63x = 36,082,280,278.05
  5. Step 5: Solve for x
    x = 36,082,280,278.05/216,348.63
  6. Step 6: Final answer
    x = 166,778.41

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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.