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Finding the Fourth Proportional to 784,780, 1,177,181.07 and 223,814.50

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Solution

The fourth proportional to 784,780, 1,177,181.07 and 223,814.50 is: 335,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,780 : 1,177,181.07 = 223,814.50 : x
  2. Step 2: Convert to fraction form
    784,780/1,177,181.07 = 223,814.50/x
  3. Step 3: Cross multiply
    784,780x = 1,177,181.07 × 223,814.50
  4. Step 4: Simplify right side
    784,780x = 263,470,192,591.52
  5. Step 5: Solve for x
    x = 263,470,192,591.52/784,780
  6. Step 6: Final answer
    x = 335,724.91

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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.