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Finding the Fourth Proportional to 385,236.82, 531,613.95 and 213,155.11

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Solution

The fourth proportional to 385,236.82, 531,613.95 and 213,155.11 is: 294,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,236.82 : 531,613.95 = 213,155.11 : x
  2. Step 2: Convert to fraction form
    385,236.82/531,613.95 = 213,155.11/x
  3. Step 3: Cross multiply
    385,236.82x = 531,613.95 × 213,155.11
  4. Step 4: Simplify right side
    385,236.82x = 113,316,229,989.78
  5. Step 5: Solve for x
    x = 113,316,229,989.78/385,236.82
  6. Step 6: Final answer
    x = 294,146.94

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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.