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Finding the Fourth Proportional to 380,446.39, 570,764.36 and 114,211.81

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Solution

The fourth proportional to 380,446.39, 570,764.36 and 114,211.81 is: 171,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,446.39 : 570,764.36 = 114,211.81 : x
  2. Step 2: Convert to fraction form
    380,446.39/570,764.36 = 114,211.81/x
  3. Step 3: Cross multiply
    380,446.39x = 570,764.36 × 114,211.81
  4. Step 4: Simplify right side
    380,446.39x = 65,188,030,639.09
  5. Step 5: Solve for x
    x = 65,188,030,639.09/380,446.39
  6. Step 6: Final answer
    x = 171,346.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.