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Finding the Fourth Proportional to 394,559.84, 544,496.56 and 213,275.28

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Solution

The fourth proportional to 394,559.84, 544,496.56 and 213,275.28 is: 294,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,559.84 : 544,496.56 = 213,275.28 : x
  2. Step 2: Convert to fraction form
    394,559.84/544,496.56 = 213,275.28/x
  3. Step 3: Cross multiply
    394,559.84x = 544,496.56 × 213,275.28
  4. Step 4: Simplify right side
    394,559.84x = 116,127,656,293.04
  5. Step 5: Solve for x
    x = 116,127,656,293.04/394,559.84
  6. Step 6: Final answer
    x = 294,322.04

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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.