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Finding the Fourth Proportional to 361,714.70, 542,640.10 and 145,589.96

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Solution

The fourth proportional to 361,714.70, 542,640.10 and 145,589.96 is: 218,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,714.70 : 542,640.10 = 145,589.96 : x
  2. Step 2: Convert to fraction form
    361,714.70/542,640.10 = 145,589.96/x
  3. Step 3: Cross multiply
    361,714.70x = 542,640.10 × 145,589.96
  4. Step 4: Simplify right side
    361,714.70x = 79,002,950,453.40
  5. Step 5: Solve for x
    x = 79,002,950,453.40/361,714.70
  6. Step 6: Final answer
    x = 218,412.33

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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.