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Finding the Fourth Proportional to 216,309.56, 298,504.08 and 120,817.64

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Solution

The fourth proportional to 216,309.56, 298,504.08 and 120,817.64 is: 166,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,309.56 : 298,504.08 = 120,817.64 : x
  2. Step 2: Convert to fraction form
    216,309.56/298,504.08 = 120,817.64/x
  3. Step 3: Cross multiply
    216,309.56x = 298,504.08 × 120,817.64
  4. Step 4: Simplify right side
    216,309.56x = 36,064,558,475.97
  5. Step 5: Solve for x
    x = 36,064,558,475.97/216,309.56
  6. Step 6: Final answer
    x = 166,726.60

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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.