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Finding the Fourth Proportional to 1,003,784.10, 1,505,677.11 and 825,917.21

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Solution

The fourth proportional to 1,003,784.10, 1,505,677.11 and 825,917.21 is: 1,238,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,784.10 : 1,505,677.11 = 825,917.21 : x
  2. Step 2: Convert to fraction form
    1,003,784.10/1,505,677.11 = 825,917.21/x
  3. Step 3: Cross multiply
    1,003,784.10x = 1,505,677.11 × 825,917.21
  4. Step 4: Simplify right side
    1,003,784.10x = 1,243,564,632,872.78
  5. Step 5: Solve for x
    x = 1,243,564,632,872.78/1,003,784.10
  6. Step 6: Final answer
    x = 1,238,876.60

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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.