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Finding the Fourth Proportional to 837,640, 1,256,863.20 and 416,952.64

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Solution

The fourth proportional to 837,640, 1,256,863.20 and 416,952.64 is: 625,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,640 : 1,256,863.20 = 416,952.64 : x
  2. Step 2: Convert to fraction form
    837,640/1,256,863.20 = 416,952.64/x
  3. Step 3: Cross multiply
    837,640x = 1,256,863.20 × 416,952.64
  4. Step 4: Simplify right side
    837,640x = 524,052,429,358.85
  5. Step 5: Solve for x
    x = 524,052,429,358.85/837,640
  6. Step 6: Final answer
    x = 625,629.66

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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.