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Finding the Fourth Proportional to 394,932.81, 545,004.81 and 213,644.01

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Solution

The fourth proportional to 394,932.81, 545,004.81 and 213,644.01 is: 294,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,932.81 : 545,004.81 = 213,644.01 : x
  2. Step 2: Convert to fraction form
    394,932.81/545,004.81 = 213,644.01/x
  3. Step 3: Cross multiply
    394,932.81x = 545,004.81 × 213,644.01
  4. Step 4: Simplify right side
    394,932.81x = 116,437,013,077.69
  5. Step 5: Solve for x
    x = 116,437,013,077.69/394,932.81
  6. Step 6: Final answer
    x = 294,827.40

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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.