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Finding the Fourth Proportional to 217,684.99, 300,399.66 and 120,886.40

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Solution

The fourth proportional to 217,684.99, 300,399.66 and 120,886.40 is: 166,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,684.99 : 300,399.66 = 120,886.40 : x
  2. Step 2: Convert to fraction form
    217,684.99/300,399.66 = 120,886.40/x
  3. Step 3: Cross multiply
    217,684.99x = 300,399.66 × 120,886.40
  4. Step 4: Simplify right side
    217,684.99x = 36,314,233,458.62
  5. Step 5: Solve for x
    x = 36,314,233,458.62/217,684.99
  6. Step 6: Final answer
    x = 166,820.11

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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.