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Finding the Fourth Proportional to 280,993.12, 421,402 and 93,960.96

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Solution

The fourth proportional to 280,993.12, 421,402 and 93,960.96 is: 140,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,993.12 : 421,402 = 93,960.96 : x
  2. Step 2: Convert to fraction form
    280,993.12/421,402 = 93,960.96/x
  3. Step 3: Cross multiply
    280,993.12x = 421,402 × 93,960.96
  4. Step 4: Simplify right side
    280,993.12x = 39,595,336,465.92
  5. Step 5: Solve for x
    x = 39,595,336,465.92/280,993.12
  6. Step 6: Final answer
    x = 140,912.12

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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.