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Finding the Fourth Proportional to 591,630.10, 816,449.42 and 319,697.98

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Solution

The fourth proportional to 591,630.10, 816,449.42 and 319,697.98 is: 441,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,630.10 : 816,449.42 = 319,697.98 : x
  2. Step 2: Convert to fraction form
    591,630.10/816,449.42 = 319,697.98/x
  3. Step 3: Cross multiply
    591,630.10x = 816,449.42 × 319,697.98
  4. Step 4: Simplify right side
    591,630.10x = 261,017,229,104.29
  5. Step 5: Solve for x
    x = 261,017,229,104.29/591,630.10
  6. Step 6: Final answer
    x = 441,183.15

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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.