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Finding the Fourth Proportional to 611,436, 843,781.68 and 343,164

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Solution

The fourth proportional to 611,436, 843,781.68 and 343,164 is: 473,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,436 : 843,781.68 = 343,164 : x
  2. Step 2: Convert to fraction form
    611,436/843,781.68 = 343,164/x
  3. Step 3: Cross multiply
    611,436x = 843,781.68 × 343,164
  4. Step 4: Simplify right side
    611,436x = 289,555,496,435.52
  5. Step 5: Solve for x
    x = 289,555,496,435.52/611,436
  6. Step 6: Final answer
    x = 473,566.32

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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.