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Finding the Fourth Proportional to 203,498.28, 280,827.60 and 114,074.28

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Solution

The fourth proportional to 203,498.28, 280,827.60 and 114,074.28 is: 157,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,498.28 : 280,827.60 = 114,074.28 : x
  2. Step 2: Convert to fraction form
    203,498.28/280,827.60 = 114,074.28/x
  3. Step 3: Cross multiply
    203,498.28x = 280,827.60 × 114,074.28
  4. Step 4: Simplify right side
    203,498.28x = 32,035,206,274.13
  5. Step 5: Solve for x
    x = 32,035,206,274.13/203,498.28
  6. Step 6: Final answer
    x = 157,422.49

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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.