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Finding the Fourth Proportional to 380,512.56, 525,110.80 and 210,750

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Solution

The fourth proportional to 380,512.56, 525,110.80 and 210,750 is: 290,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,512.56 : 525,110.80 = 210,750 : x
  2. Step 2: Convert to fraction form
    380,512.56/525,110.80 = 210,750/x
  3. Step 3: Cross multiply
    380,512.56x = 525,110.80 × 210,750
  4. Step 4: Simplify right side
    380,512.56x = 110,667,101,100.00
  5. Step 5: Solve for x
    x = 110,667,101,100.00/380,512.56
  6. Step 6: Final answer
    x = 290,836.92

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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.