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Finding the Fourth Proportional to 418,090.97, 576,647.61 and 289,243.86

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Solution

The fourth proportional to 418,090.97, 576,647.61 and 289,243.86 is: 398,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,090.97 : 576,647.61 = 289,243.86 : x
  2. Step 2: Convert to fraction form
    418,090.97/576,647.61 = 289,243.86/x
  3. Step 3: Cross multiply
    418,090.97x = 576,647.61 × 289,243.86
  4. Step 4: Simplify right side
    418,090.97x = 166,791,780,576.18
  5. Step 5: Solve for x
    x = 166,791,780,576.18/418,090.97
  6. Step 6: Final answer
    x = 398,936.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.