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Finding the Fourth Proportional to 1,428,858.90, 1,971,845.73 and 784,267.38

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Solution

The fourth proportional to 1,428,858.90, 1,971,845.73 and 784,267.38 is: 1,082,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,858.90 : 1,971,845.73 = 784,267.38 : x
  2. Step 2: Convert to fraction form
    1,428,858.90/1,971,845.73 = 784,267.38/x
  3. Step 3: Cross multiply
    1,428,858.90x = 1,971,845.73 × 784,267.38
  4. Step 4: Simplify right side
    1,428,858.90x = 1,546,454,284,431.29
  5. Step 5: Solve for x
    x = 1,546,454,284,431.29/1,428,858.90
  6. Step 6: Final answer
    x = 1,082,300.21

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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.