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Finding the Fourth Proportional to 217,441.44, 300,040.20 and 120,643.74

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Solution

The fourth proportional to 217,441.44, 300,040.20 and 120,643.74 is: 166,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,441.44 : 300,040.20 = 120,643.74 : x
  2. Step 2: Convert to fraction form
    217,441.44/300,040.20 = 120,643.74/x
  3. Step 3: Cross multiply
    217,441.44x = 300,040.20 × 120,643.74
  4. Step 4: Simplify right side
    217,441.44x = 36,197,971,878.35
  5. Step 5: Solve for x
    x = 36,197,971,878.35/217,441.44
  6. Step 6: Final answer
    x = 166,472.28

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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.