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Finding the Fourth Proportional to 280,489.96, 420,734.94 and 70,127.90

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Solution

The fourth proportional to 280,489.96, 420,734.94 and 70,127.90 is: 105,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,489.96 : 420,734.94 = 70,127.90 : x
  2. Step 2: Convert to fraction form
    280,489.96/420,734.94 = 70,127.90/x
  3. Step 3: Cross multiply
    280,489.96x = 420,734.94 × 70,127.90
  4. Step 4: Simplify right side
    280,489.96x = 29,505,255,826.61
  5. Step 5: Solve for x
    x = 29,505,255,826.61/280,489.96
  6. Step 6: Final answer
    x = 105,191.84

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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.