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Finding the Fourth Proportional to 380,668.48, 570,379.79 and 230,453.47

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Solution

The fourth proportional to 380,668.48, 570,379.79 and 230,453.47 is: 345,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,668.48 : 570,379.79 = 230,453.47 : x
  2. Step 2: Convert to fraction form
    380,668.48/570,379.79 = 230,453.47/x
  3. Step 3: Cross multiply
    380,668.48x = 570,379.79 × 230,453.47
  4. Step 4: Simplify right side
    380,668.48x = 131,446,003,112.48
  5. Step 5: Solve for x
    x = 131,446,003,112.48/380,668.48
  6. Step 6: Final answer
    x = 345,303.09

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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.