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Finding the Fourth Proportional to 837,642, 1,256,866.20 and 416,954.64

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Solution

The fourth proportional to 837,642, 1,256,866.20 and 416,954.64 is: 625,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,642 : 1,256,866.20 = 416,954.64 : x
  2. Step 2: Convert to fraction form
    837,642/1,256,866.20 = 416,954.64/x
  3. Step 3: Cross multiply
    837,642x = 1,256,866.20 × 416,954.64
  4. Step 4: Simplify right side
    837,642x = 524,056,193,949.17
  5. Step 5: Solve for x
    x = 524,056,193,949.17/837,642
  6. Step 6: Final answer
    x = 625,632.66

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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.