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Finding the Fourth Proportional to 613,143.34, 919,381.42 and 213,676.86

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Solution

The fourth proportional to 613,143.34, 919,381.42 and 213,676.86 is: 320,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,143.34 : 919,381.42 = 213,676.86 : x
  2. Step 2: Convert to fraction form
    613,143.34/919,381.42 = 213,676.86/x
  3. Step 3: Cross multiply
    613,143.34x = 919,381.42 × 213,676.86
  4. Step 4: Simplify right side
    613,143.34x = 196,450,534,967.94
  5. Step 5: Solve for x
    x = 196,450,534,967.94/613,143.34
  6. Step 6: Final answer
    x = 320,399.04

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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.