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Finding the Fourth Proportional to 420,518, 631,039.44 and 171,200

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Solution

The fourth proportional to 420,518, 631,039.44 and 171,200 is: 256,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,518 : 631,039.44 = 171,200 : x
  2. Step 2: Convert to fraction form
    420,518/631,039.44 = 171,200/x
  3. Step 3: Cross multiply
    420,518x = 631,039.44 × 171,200
  4. Step 4: Simplify right side
    420,518x = 108,033,952,128.00
  5. Step 5: Solve for x
    x = 108,033,952,128.00/420,518
  6. Step 6: Final answer
    x = 256,906.84

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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.