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Finding the Fourth Proportional to 784,791, 1,177,197.60 and 223,825.50

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Solution

The fourth proportional to 784,791, 1,177,197.60 and 223,825.50 is: 335,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,791 : 1,177,197.60 = 223,825.50 : x
  2. Step 2: Convert to fraction form
    784,791/1,177,197.60 = 223,825.50/x
  3. Step 3: Cross multiply
    784,791x = 1,177,197.60 × 223,825.50
  4. Step 4: Simplify right side
    784,791x = 263,486,841,418.80
  5. Step 5: Solve for x
    x = 263,486,841,418.80/784,791
  6. Step 6: Final answer
    x = 335,741.42

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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.