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Finding the Fourth Proportional to 501,346.82, 691,859.75 and 286,486.37

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Solution

The fourth proportional to 501,346.82, 691,859.75 and 286,486.37 is: 395,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,346.82 : 691,859.75 = 286,486.37 : x
  2. Step 2: Convert to fraction form
    501,346.82/691,859.75 = 286,486.37/x
  3. Step 3: Cross multiply
    501,346.82x = 691,859.75 × 286,486.37
  4. Step 4: Simplify right side
    501,346.82x = 198,208,383,434.88
  5. Step 5: Solve for x
    x = 198,208,383,434.88/501,346.82
  6. Step 6: Final answer
    x = 395,351.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.