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Finding the Fourth Proportional to 394,731.82, 544,728.72 and 213,442.48

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Solution

The fourth proportional to 394,731.82, 544,728.72 and 213,442.48 is: 294,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,731.82 : 544,728.72 = 213,442.48 : x
  2. Step 2: Convert to fraction form
    394,731.82/544,728.72 = 213,442.48/x
  3. Step 3: Cross multiply
    394,731.82x = 544,728.72 × 213,442.48
  4. Step 4: Simplify right side
    394,731.82x = 116,268,248,924.03
  5. Step 5: Solve for x
    x = 116,268,248,924.03/394,731.82
  6. Step 6: Final answer
    x = 294,549.98

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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.