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Finding the Fourth Proportional to 1,253,978.83, 1,731,208.11 and 825,504.52

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Solution

The fourth proportional to 1,253,978.83, 1,731,208.11 and 825,504.52 is: 1,139,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,978.83 : 1,731,208.11 = 825,504.52 : x
  2. Step 2: Convert to fraction form
    1,253,978.83/1,731,208.11 = 825,504.52/x
  3. Step 3: Cross multiply
    1,253,978.83x = 1,731,208.11 × 825,504.52
  4. Step 4: Simplify right side
    1,253,978.83x = 1,429,120,119,865.66
  5. Step 5: Solve for x
    x = 1,429,120,119,865.66/1,253,978.83
  6. Step 6: Final answer
    x = 1,139,668.46

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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.