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Finding the Fourth Proportional to 385,344.51, 531,764.48 and 213,269.69

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Solution

The fourth proportional to 385,344.51, 531,764.48 and 213,269.69 is: 294,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,344.51 : 531,764.48 = 213,269.69 : x
  2. Step 2: Convert to fraction form
    385,344.51/531,764.48 = 213,269.69/x
  3. Step 3: Cross multiply
    385,344.51x = 531,764.48 × 213,269.69
  4. Step 4: Simplify right side
    385,344.51x = 113,409,242,077.44
  5. Step 5: Solve for x
    x = 113,409,242,077.44/385,344.51
  6. Step 6: Final answer
    x = 294,306.11

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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.