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Finding the Fourth Proportional to 629,711.74, 869,010.96 and 343,231.30

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Solution

The fourth proportional to 629,711.74, 869,010.96 and 343,231.30 is: 473,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,711.74 : 869,010.96 = 343,231.30 : x
  2. Step 2: Convert to fraction form
    629,711.74/869,010.96 = 343,231.30/x
  3. Step 3: Cross multiply
    629,711.74x = 869,010.96 × 343,231.30
  4. Step 4: Simplify right side
    629,711.74x = 298,271,761,515.05
  5. Step 5: Solve for x
    x = 298,271,761,515.05/629,711.74
  6. Step 6: Final answer
    x = 473,663.97

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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.