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Finding the Fourth Proportional to 200,425.40, 276,587.12 and 109,782.88

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Solution

The fourth proportional to 200,425.40, 276,587.12 and 109,782.88 is: 151,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,425.40 : 276,587.12 = 109,782.88 : x
  2. Step 2: Convert to fraction form
    200,425.40/276,587.12 = 109,782.88/x
  3. Step 3: Cross multiply
    200,425.40x = 276,587.12 × 109,782.88
  4. Step 4: Simplify right side
    200,425.40x = 30,364,530,187.50
  5. Step 5: Solve for x
    x = 30,364,530,187.50/200,425.40
  6. Step 6: Final answer
    x = 151,500.41

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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.