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Finding the Fourth Proportional to 216,460.98, 298,522.71 and 135,896.01

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Solution

The fourth proportional to 216,460.98, 298,522.71 and 135,896.01 is: 187,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,460.98 : 298,522.71 = 135,896.01 : x
  2. Step 2: Convert to fraction form
    216,460.98/298,522.71 = 135,896.01/x
  3. Step 3: Cross multiply
    216,460.98x = 298,522.71 × 135,896.01
  4. Step 4: Simplify right side
    216,460.98x = 40,568,045,183.39
  5. Step 5: Solve for x
    x = 40,568,045,183.39/216,460.98
  6. Step 6: Final answer
    x = 187,415.05

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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.