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Finding the Fourth Proportional to 280,298.58, 420,197.89 and 102,764.22

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Solution

The fourth proportional to 280,298.58, 420,197.89 and 102,764.22 is: 154,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,298.58 : 420,197.89 = 102,764.22 : x
  2. Step 2: Convert to fraction form
    280,298.58/420,197.89 = 102,764.22/x
  3. Step 3: Cross multiply
    280,298.58x = 420,197.89 × 102,764.22
  4. Step 4: Simplify right side
    280,298.58x = 43,181,305,796.69
  5. Step 5: Solve for x
    x = 43,181,305,796.69/280,298.58
  6. Step 6: Final answer
    x = 154,054.67

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1.5x scale

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.