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Finding the Fourth Proportional to 431,189.81, 594,723.17 and 316,429.69

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Solution

The fourth proportional to 431,189.81, 594,723.17 and 316,429.69 is: 436,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,189.81 : 594,723.17 = 316,429.69 : x
  2. Step 2: Convert to fraction form
    431,189.81/594,723.17 = 316,429.69/x
  3. Step 3: Cross multiply
    431,189.81x = 594,723.17 × 316,429.69
  4. Step 4: Simplify right side
    431,189.81x = 188,188,067,623.18
  5. Step 5: Solve for x
    x = 188,188,067,623.18/431,189.81
  6. Step 6: Final answer
    x = 436,439.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.