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Finding the Fourth Proportional to 391,344.36, 587,213.51 and 291,704.64

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Solution

The fourth proportional to 391,344.36, 587,213.51 and 291,704.64 is: 437,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,344.36 : 587,213.51 = 291,704.64 : x
  2. Step 2: Convert to fraction form
    391,344.36/587,213.51 = 291,704.64/x
  3. Step 3: Cross multiply
    391,344.36x = 587,213.51 × 291,704.64
  4. Step 4: Simplify right side
    391,344.36x = 171,292,904,079.16
  5. Step 5: Solve for x
    x = 171,292,904,079.16/391,344.36
  6. Step 6: Final answer
    x = 437,703.78

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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.