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Finding the Fourth Proportional to 280,344, 420,690.96 and 114,132

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Solution

The fourth proportional to 280,344, 420,690.96 and 114,132 is: 171,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,344 : 420,690.96 = 114,132 : x
  2. Step 2: Convert to fraction form
    280,344/420,690.96 = 114,132/x
  3. Step 3: Cross multiply
    280,344x = 420,690.96 × 114,132
  4. Step 4: Simplify right side
    280,344x = 48,014,300,646.72
  5. Step 5: Solve for x
    x = 48,014,300,646.72/280,344
  6. Step 6: Final answer
    x = 171,269.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.