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Finding the Fourth Proportional to 382,805.10, 528,265.89 and 213,039.18

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Solution

The fourth proportional to 382,805.10, 528,265.89 and 213,039.18 is: 293,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,805.10 : 528,265.89 = 213,039.18 : x
  2. Step 2: Convert to fraction form
    382,805.10/528,265.89 = 213,039.18/x
  3. Step 3: Cross multiply
    382,805.10x = 528,265.89 × 213,039.18
  4. Step 4: Simplify right side
    382,805.10x = 112,541,332,027.57
  5. Step 5: Solve for x
    x = 112,541,332,027.57/382,805.10
  6. Step 6: Final answer
    x = 293,991.20

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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.