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Finding the Fourth Proportional to 404,385.40, 605,411.70 and 271,415.80

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Solution

The fourth proportional to 404,385.40, 605,411.70 and 271,415.80 is: 406,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,385.40 : 605,411.70 = 271,415.80 : x
  2. Step 2: Convert to fraction form
    404,385.40/605,411.70 = 271,415.80/x
  3. Step 3: Cross multiply
    404,385.40x = 605,411.70 × 271,415.80
  4. Step 4: Simplify right side
    404,385.40x = 164,318,300,884.86
  5. Step 5: Solve for x
    x = 164,318,300,884.86/404,385.40
  6. Step 6: Final answer
    x = 406,340.83

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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.