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Finding the Fourth Proportional to 218,103.60, 301,212.44 and 194,328.64

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Solution

The fourth proportional to 218,103.60, 301,212.44 and 194,328.64 is: 268,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,103.60 : 301,212.44 = 194,328.64 : x
  2. Step 2: Convert to fraction form
    218,103.60/301,212.44 = 194,328.64/x
  3. Step 3: Cross multiply
    218,103.60x = 301,212.44 × 194,328.64
  4. Step 4: Simplify right side
    218,103.60x = 58,534,202,091.61
  5. Step 5: Solve for x
    x = 58,534,202,091.61/218,103.60
  6. Step 6: Final answer
    x = 268,377.97

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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.