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Finding the Fourth Proportional to 380,513.56, 525,112.18 and 210,751

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Solution

The fourth proportional to 380,513.56, 525,112.18 and 210,751 is: 290,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,513.56 : 525,112.18 = 210,751 : x
  2. Step 2: Convert to fraction form
    380,513.56/525,112.18 = 210,751/x
  3. Step 3: Cross multiply
    380,513.56x = 525,112.18 × 210,751
  4. Step 4: Simplify right side
    380,513.56x = 110,667,917,047.18
  5. Step 5: Solve for x
    x = 110,667,917,047.18/380,513.56
  6. Step 6: Final answer
    x = 290,838.30

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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.