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Finding the Fourth Proportional to 404,391.40, 606,716.70 and 271,421.80

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Solution

The fourth proportional to 404,391.40, 606,716.70 and 271,421.80 is: 407,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,391.40 : 606,716.70 = 271,421.80 : x
  2. Step 2: Convert to fraction form
    404,391.40/606,716.70 = 271,421.80/x
  3. Step 3: Cross multiply
    404,391.40x = 606,716.70 × 271,421.80
  4. Step 4: Simplify right side
    404,391.40x = 164,676,138,804.06
  5. Step 5: Solve for x
    x = 164,676,138,804.06/404,391.40
  6. Step 6: Final answer
    x = 407,219.69

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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.