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Finding the Fourth Proportional to 280,490.96, 420,736.44 and 70,128.90

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Solution

The fourth proportional to 280,490.96, 420,736.44 and 70,128.90 is: 105,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,490.96 : 420,736.44 = 70,128.90 : x
  2. Step 2: Convert to fraction form
    280,490.96/420,736.44 = 70,128.90/x
  3. Step 3: Cross multiply
    280,490.96x = 420,736.44 × 70,128.90
  4. Step 4: Simplify right side
    280,490.96x = 29,505,783,727.12
  5. Step 5: Solve for x
    x = 29,505,783,727.12/280,490.96
  6. Step 6: Final answer
    x = 105,193.35

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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.