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Finding the Fourth Proportional to 784,296, 1,082,328.48 and 426,600

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Solution

The fourth proportional to 784,296, 1,082,328.48 and 426,600 is: 588,708

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,296 : 1,082,328.48 = 426,600 : x
  2. Step 2: Convert to fraction form
    784,296/1,082,328.48 = 426,600/x
  3. Step 3: Cross multiply
    784,296x = 1,082,328.48 × 426,600
  4. Step 4: Simplify right side
    784,296x = 461,721,329,568
  5. Step 5: Solve for x
    x = 461,721,329,568/784,296
  6. Step 6: Final answer
    x = 588,708

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.