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Finding the Fourth Proportional to 218,311.70, 301,257.51 and 122,814.32

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Solution

The fourth proportional to 218,311.70, 301,257.51 and 122,814.32 is: 169,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,311.70 : 301,257.51 = 122,814.32 : x
  2. Step 2: Convert to fraction form
    218,311.70/301,257.51 = 122,814.32/x
  3. Step 3: Cross multiply
    218,311.70x = 301,257.51 × 122,814.32
  4. Step 4: Simplify right side
    218,311.70x = 36,998,736,235.54
  5. Step 5: Solve for x
    x = 36,998,736,235.54/218,311.70
  6. Step 6: Final answer
    x = 169,476.65

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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.