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Finding the Fourth Proportional to 413,629.30, 620,443.95 and 271,911.70

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Solution

The fourth proportional to 413,629.30, 620,443.95 and 271,911.70 is: 407,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,629.30 : 620,443.95 = 271,911.70 : x
  2. Step 2: Convert to fraction form
    413,629.30/620,443.95 = 271,911.70/x
  3. Step 3: Cross multiply
    413,629.30x = 620,443.95 × 271,911.70
  4. Step 4: Simplify right side
    413,629.30x = 168,705,969,199.22
  5. Step 5: Solve for x
    x = 168,705,969,199.22/413,629.30
  6. Step 6: Final answer
    x = 407,867.55

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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.