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Finding the Fourth Proportional to 837,782, 1,256,654.28 and 206,701.28

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Solution

The fourth proportional to 837,782, 1,256,654.28 and 206,701.28 is: 310,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,782 : 1,256,654.28 = 206,701.28 : x
  2. Step 2: Convert to fraction form
    837,782/1,256,654.28 = 206,701.28/x
  3. Step 3: Cross multiply
    837,782x = 1,256,654.28 × 206,701.28
  4. Step 4: Simplify right side
    837,782x = 259,752,048,193.48
  5. Step 5: Solve for x
    x = 259,752,048,193.48/837,782
  6. Step 6: Final answer
    x = 310,047.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.