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Finding the Fourth Proportional to 385,791.30, 532,379.94 and 213,702.36

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Solution

The fourth proportional to 385,791.30, 532,379.94 and 213,702.36 is: 294,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,791.30 : 532,379.94 = 213,702.36 : x
  2. Step 2: Convert to fraction form
    385,791.30/532,379.94 = 213,702.36/x
  3. Step 3: Cross multiply
    385,791.30x = 532,379.94 × 213,702.36
  4. Step 4: Simplify right side
    385,791.30x = 113,770,849,594.66
  5. Step 5: Solve for x
    x = 113,770,849,594.66/385,791.30
  6. Step 6: Final answer
    x = 294,902.58

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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.