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Finding the Fourth Proportional to 382,965.03, 528,481.46 and 213,199.16

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Solution

The fourth proportional to 382,965.03, 528,481.46 and 213,199.16 is: 294,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,965.03 : 528,481.46 = 213,199.16 : x
  2. Step 2: Convert to fraction form
    382,965.03/528,481.46 = 213,199.16/x
  3. Step 3: Cross multiply
    382,965.03x = 528,481.46 × 213,199.16
  4. Step 4: Simplify right side
    382,965.03x = 112,671,801,238.16
  5. Step 5: Solve for x
    x = 112,671,801,238.16/382,965.03
  6. Step 6: Final answer
    x = 294,209.11

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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.