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Finding the Fourth Proportional to 412,520.88, 618,781.85 and 113,004.09

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Solution

The fourth proportional to 412,520.88, 618,781.85 and 113,004.09 is: 169,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,520.88 : 618,781.85 = 113,004.09 : x
  2. Step 2: Convert to fraction form
    412,520.88/618,781.85 = 113,004.09/x
  3. Step 3: Cross multiply
    412,520.88x = 618,781.85 × 113,004.09
  4. Step 4: Simplify right side
    412,520.88x = 69,924,879,726.51
  5. Step 5: Solve for x
    x = 69,924,879,726.51/412,520.88
  6. Step 6: Final answer
    x = 169,506.28

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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.