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Finding the Fourth Proportional to 394,272, 544,095.36 and 215,424

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Solution

The fourth proportional to 394,272, 544,095.36 and 215,424 is: 297,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,272 : 544,095.36 = 215,424 : x
  2. Step 2: Convert to fraction form
    394,272/544,095.36 = 215,424/x
  3. Step 3: Cross multiply
    394,272x = 544,095.36 × 215,424
  4. Step 4: Simplify right side
    394,272x = 117,211,198,832.64
  5. Step 5: Solve for x
    x = 117,211,198,832.64/394,272
  6. Step 6: Final answer
    x = 297,285.12

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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.