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Finding the Fourth Proportional to 420,517, 631,037.94 and 171,199

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Solution

The fourth proportional to 420,517, 631,037.94 and 171,199 is: 256,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,517 : 631,037.94 = 171,199 : x
  2. Step 2: Convert to fraction form
    420,517/631,037.94 = 171,199/x
  3. Step 3: Cross multiply
    420,517x = 631,037.94 × 171,199
  4. Step 4: Simplify right side
    420,517x = 108,033,064,290.06
  5. Step 5: Solve for x
    x = 108,033,064,290.06/420,517
  6. Step 6: Final answer
    x = 256,905.34

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1.5x scale

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.