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Finding the Fourth Proportional to 394,705, 544,705.86 and 215,857

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Solution

The fourth proportional to 394,705, 544,705.86 and 215,857 is: 297,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,705 : 544,705.86 = 215,857 : x
  2. Step 2: Convert to fraction form
    394,705/544,705.86 = 215,857/x
  3. Step 3: Cross multiply
    394,705x = 544,705.86 × 215,857
  4. Step 4: Simplify right side
    394,705x = 117,578,572,822.02
  5. Step 5: Solve for x
    x = 117,578,572,822.02/394,705
  6. Step 6: Final answer
    x = 297,889.75

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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.