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Finding the Fourth Proportional to 385,791.80, 532,380.63 and 213,702.86

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Solution

The fourth proportional to 385,791.80, 532,380.63 and 213,702.86 is: 294,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,791.80 : 532,380.63 = 213,702.86 : x
  2. Step 2: Convert to fraction form
    385,791.80/532,380.63 = 213,702.86/x
  3. Step 3: Cross multiply
    385,791.80x = 532,380.63 × 213,702.86
  4. Step 4: Simplify right side
    385,791.80x = 113,771,263,239.60
  5. Step 5: Solve for x
    x = 113,771,263,239.60/385,791.80
  6. Step 6: Final answer
    x = 294,903.27

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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.