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Finding the Fourth Proportional to 280,504.92, 420,910.50 and 162,406.92

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Solution

The fourth proportional to 280,504.92, 420,910.50 and 162,406.92 is: 243,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,504.92 : 420,910.50 = 162,406.92 : x
  2. Step 2: Convert to fraction form
    280,504.92/420,910.50 = 162,406.92/x
  3. Step 3: Cross multiply
    280,504.92x = 420,910.50 × 162,406.92
  4. Step 4: Simplify right side
    280,504.92x = 68,358,777,900.66
  5. Step 5: Solve for x
    x = 68,358,777,900.66/280,504.92
  6. Step 6: Final answer
    x = 243,699.03

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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.