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Finding the Fourth Proportional to 784,779, 1,177,179.57 and 223,813.50

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Solution

The fourth proportional to 784,779, 1,177,179.57 and 223,813.50 is: 335,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,779 : 1,177,179.57 = 223,813.50 : x
  2. Step 2: Convert to fraction form
    784,779/1,177,179.57 = 223,813.50/x
  3. Step 3: Cross multiply
    784,779x = 1,177,179.57 × 223,813.50
  4. Step 4: Simplify right side
    784,779x = 263,468,679,690.20
  5. Step 5: Solve for x
    x = 263,468,679,690.20/784,779
  6. Step 6: Final answer
    x = 335,723.41

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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.