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Finding the Fourth Proportional to 394,536, 544,459.68 and 215,688

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Solution

The fourth proportional to 394,536, 544,459.68 and 215,688 is: 297,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,536 : 544,459.68 = 215,688 : x
  2. Step 2: Convert to fraction form
    394,536/544,459.68 = 215,688/x
  3. Step 3: Cross multiply
    394,536x = 544,459.68 × 215,688
  4. Step 4: Simplify right side
    394,536x = 117,433,419,459.84
  5. Step 5: Solve for x
    x = 117,433,419,459.84/394,536
  6. Step 6: Final answer
    x = 297,649.44

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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.