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Finding the Fourth Proportional to 394,678, 544,655.64 and 215,830

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Solution

The fourth proportional to 394,678, 544,655.64 and 215,830 is: 297,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,678 : 544,655.64 = 215,830 : x
  2. Step 2: Convert to fraction form
    394,678/544,655.64 = 215,830/x
  3. Step 3: Cross multiply
    394,678x = 544,655.64 × 215,830
  4. Step 4: Simplify right side
    394,678x = 117,553,026,781.20
  5. Step 5: Solve for x
    x = 117,553,026,781.20/394,678
  6. Step 6: Final answer
    x = 297,845.40

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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.