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Finding the Fourth Proportional to 289,880.46, 434,816.64 and 100,478.70

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Solution

The fourth proportional to 289,880.46, 434,816.64 and 100,478.70 is: 150,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,880.46 : 434,816.64 = 100,478.70 : x
  2. Step 2: Convert to fraction form
    289,880.46/434,816.64 = 100,478.70/x
  3. Step 3: Cross multiply
    289,880.46x = 434,816.64 × 100,478.70
  4. Step 4: Simplify right side
    289,880.46x = 43,689,810,725.57
  5. Step 5: Solve for x
    x = 43,689,810,725.57/289,880.46
  6. Step 6: Final answer
    x = 150,716.65

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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.