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Finding the Fourth Proportional to 512,770.20, 768,636.90 and 232,488.60

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Solution

The fourth proportional to 512,770.20, 768,636.90 and 232,488.60 is: 348,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,770.20 : 768,636.90 = 232,488.60 : x
  2. Step 2: Convert to fraction form
    512,770.20/768,636.90 = 232,488.60/x
  3. Step 3: Cross multiply
    512,770.20x = 768,636.90 × 232,488.60
  4. Step 4: Simplify right side
    512,770.20x = 178,699,316,789.34
  5. Step 5: Solve for x
    x = 178,699,316,789.34/512,770.20
  6. Step 6: Final answer
    x = 348,497.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.