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Finding the Fourth Proportional to 391,759, 587,804.78 and 214,058.42

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Solution

The fourth proportional to 391,759, 587,804.78 and 214,058.42 is: 321,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,759 : 587,804.78 = 214,058.42 : x
  2. Step 2: Convert to fraction form
    391,759/587,804.78 = 214,058.42/x
  3. Step 3: Cross multiply
    391,759x = 587,804.78 × 214,058.42
  4. Step 4: Simplify right side
    391,759x = 125,824,562,475.25
  5. Step 5: Solve for x
    x = 125,824,562,475.25/391,759
  6. Step 6: Final answer
    x = 321,178.49

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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.