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Finding the Fourth Proportional to 1,428,913.12, 1,971,791.76 and 784,230.88

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Solution

The fourth proportional to 1,428,913.12, 1,971,791.76 and 784,230.88 is: 1,082,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,913.12 : 1,971,791.76 = 784,230.88 : x
  2. Step 2: Convert to fraction form
    1,428,913.12/1,971,791.76 = 784,230.88/x
  3. Step 3: Cross multiply
    1,428,913.12x = 1,971,791.76 × 784,230.88
  4. Step 4: Simplify right side
    1,428,913.12x = 1,546,339,987,121.55
  5. Step 5: Solve for x
    x = 1,546,339,987,121.55/1,428,913.12
  6. Step 6: Final answer
    x = 1,082,179.15

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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.