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Finding the Fourth Proportional to 380,512.37, 570,355.86 and 190,514.52

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Solution

The fourth proportional to 380,512.37, 570,355.86 and 190,514.52 is: 285,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,512.37 : 570,355.86 = 190,514.52 : x
  2. Step 2: Convert to fraction form
    380,512.37/570,355.86 = 190,514.52/x
  3. Step 3: Cross multiply
    380,512.37x = 570,355.86 × 190,514.52
  4. Step 4: Simplify right side
    380,512.37x = 108,661,072,897.09
  5. Step 5: Solve for x
    x = 108,661,072,897.09/380,512.37
  6. Step 6: Final answer
    x = 285,565.15

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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.