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Finding the Fourth Proportional to 611,367, 843,764.22 and 343,095

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Solution

The fourth proportional to 611,367, 843,764.22 and 343,095 is: 473,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,367 : 843,764.22 = 343,095 : x
  2. Step 2: Convert to fraction form
    611,367/843,764.22 = 343,095/x
  3. Step 3: Cross multiply
    611,367x = 843,764.22 × 343,095
  4. Step 4: Simplify right side
    611,367x = 289,491,285,060.90
  5. Step 5: Solve for x
    x = 289,491,285,060.90/611,367
  6. Step 6: Final answer
    x = 473,514.74

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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.