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Finding the Fourth Proportional to 1,786,092.80, 2,679,434.40 and 827,506.40

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Solution

The fourth proportional to 1,786,092.80, 2,679,434.40 and 827,506.40 is: 1,241,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,092.80 : 2,679,434.40 = 827,506.40 : x
  2. Step 2: Convert to fraction form
    1,786,092.80/2,679,434.40 = 827,506.40/x
  3. Step 3: Cross multiply
    1,786,092.80x = 2,679,434.40 × 827,506.40
  4. Step 4: Simplify right side
    1,786,092.80x = 2,217,249,114,380.16
  5. Step 5: Solve for x
    x = 2,217,249,114,380.16/1,786,092.80
  6. Step 6: Final answer
    x = 1,241,396.37

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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.