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Finding the Fourth Proportional to 280,103.58, 420,181.50 and 111,583.08

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Solution

The fourth proportional to 280,103.58, 420,181.50 and 111,583.08 is: 167,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,103.58 : 420,181.50 = 111,583.08 : x
  2. Step 2: Convert to fraction form
    280,103.58/420,181.50 = 111,583.08/x
  3. Step 3: Cross multiply
    280,103.58x = 420,181.50 × 111,583.08
  4. Step 4: Simplify right side
    280,103.58x = 46,885,145,929.02
  5. Step 5: Solve for x
    x = 46,885,145,929.02/280,103.58
  6. Step 6: Final answer
    x = 167,385.03

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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.