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Finding the Fourth Proportional to 391,814.24, 588,410.48 and 386,204.64

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Solution

The fourth proportional to 391,814.24, 588,410.48 and 386,204.64 is: 579,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,814.24 : 588,410.48 = 386,204.64 : x
  2. Step 2: Convert to fraction form
    391,814.24/588,410.48 = 386,204.64/x
  3. Step 3: Cross multiply
    391,814.24x = 588,410.48 × 386,204.64
  4. Step 4: Simplify right side
    391,814.24x = 227,246,857,600.63
  5. Step 5: Solve for x
    x = 227,246,857,600.63/391,814.24
  6. Step 6: Final answer
    x = 579,986.21

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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.