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Finding the Fourth Proportional to 389,054.56, 536,894.22 and 216,972.71

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Solution

The fourth proportional to 389,054.56, 536,894.22 and 216,972.71 is: 299,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,054.56 : 536,894.22 = 216,972.71 : x
  2. Step 2: Convert to fraction form
    389,054.56/536,894.22 = 216,972.71/x
  3. Step 3: Cross multiply
    389,054.56x = 536,894.22 × 216,972.71
  4. Step 4: Simplify right side
    389,054.56x = 116,491,394,039.27
  5. Step 5: Solve for x
    x = 116,491,394,039.27/389,054.56
  6. Step 6: Final answer
    x = 299,421.74

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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.