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Finding the Fourth Proportional to 413,610.40, 620,415.60 and 271,892.80

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Solution

The fourth proportional to 413,610.40, 620,415.60 and 271,892.80 is: 407,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,610.40 : 620,415.60 = 271,892.80 : x
  2. Step 2: Convert to fraction form
    413,610.40/620,415.60 = 271,892.80/x
  3. Step 3: Cross multiply
    413,610.40x = 620,415.60 × 271,892.80
  4. Step 4: Simplify right side
    413,610.40x = 168,686,534,647.68
  5. Step 5: Solve for x
    x = 168,686,534,647.68/413,610.40
  6. Step 6: Final answer
    x = 407,839.20

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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.