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Finding the Fourth Proportional to 394,501.52, 544,401.96 and 215,642

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Solution

The fourth proportional to 394,501.52, 544,401.96 and 215,642 is: 297,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,501.52 : 544,401.96 = 215,642 : x
  2. Step 2: Convert to fraction form
    394,501.52/544,401.96 = 215,642/x
  3. Step 3: Cross multiply
    394,501.52x = 544,401.96 × 215,642
  4. Step 4: Simplify right side
    394,501.52x = 117,395,927,458.32
  5. Step 5: Solve for x
    x = 117,395,927,458.32/394,501.52
  6. Step 6: Final answer
    x = 297,580.42

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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.