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Finding the Fourth Proportional to 280,422, 420,633.90 and 70,059.96

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Solution

The fourth proportional to 280,422, 420,633.90 and 70,059.96 is: 105,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,422 : 420,633.90 = 70,059.96 : x
  2. Step 2: Convert to fraction form
    280,422/420,633.90 = 70,059.96/x
  3. Step 3: Cross multiply
    280,422x = 420,633.90 × 70,059.96
  4. Step 4: Simplify right side
    280,422x = 29,469,594,208.64
  5. Step 5: Solve for x
    x = 29,469,594,208.64/280,422
  6. Step 6: Final answer
    x = 105,090.16

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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.