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Finding the Fourth Proportional to 561,080.94, 774,296.64 and 319,379.07

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Solution

The fourth proportional to 561,080.94, 774,296.64 and 319,379.07 is: 440,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,080.94 : 774,296.64 = 319,379.07 : x
  2. Step 2: Convert to fraction form
    561,080.94/774,296.64 = 319,379.07/x
  3. Step 3: Cross multiply
    561,080.94x = 774,296.64 × 319,379.07
  4. Step 4: Simplify right side
    561,080.94x = 247,294,140,787.33
  5. Step 5: Solve for x
    x = 247,294,140,787.33/561,080.94
  6. Step 6: Final answer
    x = 440,745.93

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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.