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Finding the Fourth Proportional to 394,564, 544,500.24 and 215,716

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Solution

The fourth proportional to 394,564, 544,500.24 and 215,716 is: 297,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,564 : 544,500.24 = 215,716 : x
  2. Step 2: Convert to fraction form
    394,564/544,500.24 = 215,716/x
  3. Step 3: Cross multiply
    394,564x = 544,500.24 × 215,716
  4. Step 4: Simplify right side
    394,564x = 117,457,413,771.84
  5. Step 5: Solve for x
    x = 117,457,413,771.84/394,564
  6. Step 6: Final answer
    x = 297,689.13

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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.