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Finding the Fourth Proportional to 380,667.75, 571,054.07 and 127,967.86

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Solution

The fourth proportional to 380,667.75, 571,054.07 and 127,967.86 is: 191,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,667.75 : 571,054.07 = 127,967.86 : x
  2. Step 2: Convert to fraction form
    380,667.75/571,054.07 = 127,967.86/x
  3. Step 3: Cross multiply
    380,667.75x = 571,054.07 × 127,967.86
  4. Step 4: Simplify right side
    380,667.75x = 73,076,567,282.19
  5. Step 5: Solve for x
    x = 73,076,567,282.19/380,667.75
  6. Step 6: Final answer
    x = 191,969.42

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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.