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Finding the Fourth Proportional to 411,982.70, 618,434.85 and 384,910.70

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Solution

The fourth proportional to 411,982.70, 618,434.85 and 384,910.70 is: 577,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,982.70 : 618,434.85 = 384,910.70 : x
  2. Step 2: Convert to fraction form
    411,982.70/618,434.85 = 384,910.70/x
  3. Step 3: Cross multiply
    411,982.70x = 618,434.85 × 384,910.70
  4. Step 4: Simplify right side
    411,982.70x = 238,042,191,017.90
  5. Step 5: Solve for x
    x = 238,042,191,017.90/411,982.70
  6. Step 6: Final answer
    x = 577,796.57

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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.