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Finding the Fourth Proportional to 1,121,364, 1,682,745.84 and 456,516

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Solution

The fourth proportional to 1,121,364, 1,682,745.84 and 456,516 is: 685,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,364 : 1,682,745.84 = 456,516 : x
  2. Step 2: Convert to fraction form
    1,121,364/1,682,745.84 = 456,516/x
  3. Step 3: Cross multiply
    1,121,364x = 1,682,745.84 × 456,516
  4. Step 4: Simplify right side
    1,121,364x = 768,200,399,893.44
  5. Step 5: Solve for x
    x = 768,200,399,893.44/1,121,364
  6. Step 6: Final answer
    x = 685,058.91

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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.