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Finding the Fourth Proportional to 385,980.56, 532,673.70 and 213,917.36

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Solution

The fourth proportional to 385,980.56, 532,673.70 and 213,917.36 is: 295,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,980.56 : 532,673.70 = 213,917.36 : x
  2. Step 2: Convert to fraction form
    385,980.56/532,673.70 = 213,917.36/x
  3. Step 3: Cross multiply
    385,980.56x = 532,673.70 × 213,917.36
  4. Step 4: Simplify right side
    385,980.56x = 113,948,151,645.43
  5. Step 5: Solve for x
    x = 113,948,151,645.43/385,980.56
  6. Step 6: Final answer
    x = 295,217.33

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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.