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Finding the Fourth Proportional to 380,916, 525,664.08 and 211,176

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Solution

The fourth proportional to 380,916, 525,664.08 and 211,176 is: 291,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,916 : 525,664.08 = 211,176 : x
  2. Step 2: Convert to fraction form
    380,916/525,664.08 = 211,176/x
  3. Step 3: Cross multiply
    380,916x = 525,664.08 × 211,176
  4. Step 4: Simplify right side
    380,916x = 111,007,637,758.08
  5. Step 5: Solve for x
    x = 111,007,637,758.08/380,916
  6. Step 6: Final answer
    x = 291,422.88

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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.