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Finding the Fourth Proportional to 281,224.56, 387,686.28 and 200,512.08

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Solution

The fourth proportional to 281,224.56, 387,686.28 and 200,512.08 is: 276,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,224.56 : 387,686.28 = 200,512.08 : x
  2. Step 2: Convert to fraction form
    281,224.56/387,686.28 = 200,512.08/x
  3. Step 3: Cross multiply
    281,224.56x = 387,686.28 × 200,512.08
  4. Step 4: Simplify right side
    281,224.56x = 77,735,782,390.26
  5. Step 5: Solve for x
    x = 77,735,782,390.26/281,224.56
  6. Step 6: Final answer
    x = 276,418.90

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1.5x scale

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.