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Finding the Fourth Proportional to 385,879.50, 532,513.89 and 216,113.67

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Solution

The fourth proportional to 385,879.50, 532,513.89 and 216,113.67 is: 298,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,879.50 : 532,513.89 = 216,113.67 : x
  2. Step 2: Convert to fraction form
    385,879.50/532,513.89 = 216,113.67/x
  3. Step 3: Cross multiply
    385,879.50x = 532,513.89 × 216,113.67
  4. Step 4: Simplify right side
    385,879.50x = 115,083,531,093.88
  5. Step 5: Solve for x
    x = 115,083,531,093.88/385,879.50
  6. Step 6: Final answer
    x = 298,236.97

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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.