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Finding the Fourth Proportional to 380,858.84, 525,566.73 and 219,765.90

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Solution

The fourth proportional to 380,858.84, 525,566.73 and 219,765.90 is: 303,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,858.84 : 525,566.73 = 219,765.90 : x
  2. Step 2: Convert to fraction form
    380,858.84/525,566.73 = 219,765.90/x
  3. Step 3: Cross multiply
    380,858.84x = 525,566.73 × 219,765.90
  4. Step 4: Simplify right side
    380,858.84x = 115,501,645,428.51
  5. Step 5: Solve for x
    x = 115,501,645,428.51/380,858.84
  6. Step 6: Final answer
    x = 303,266.28

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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.