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Finding the Fourth Proportional to 380,904, 525,648 and 211,163.52

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Solution

The fourth proportional to 380,904, 525,648 and 211,163.52 is: 291,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,904 : 525,648 = 211,163.52 : x
  2. Step 2: Convert to fraction form
    380,904/525,648 = 211,163.52/x
  3. Step 3: Cross multiply
    380,904x = 525,648 × 211,163.52
  4. Step 4: Simplify right side
    380,904x = 110,997,681,960.96
  5. Step 5: Solve for x
    x = 110,997,681,960.96/380,904
  6. Step 6: Final answer
    x = 291,405.92

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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.