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Finding the Fourth Proportional to 275,011.95, 412,433.48 and 190,167.95

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Solution

The fourth proportional to 275,011.95, 412,433.48 and 190,167.95 is: 285,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,011.95 : 412,433.48 = 190,167.95 : x
  2. Step 2: Convert to fraction form
    275,011.95/412,433.48 = 190,167.95/x
  3. Step 3: Cross multiply
    275,011.95x = 412,433.48 × 190,167.95
  4. Step 4: Simplify right side
    275,011.95x = 78,431,630,909.47
  5. Step 5: Solve for x
    x = 78,431,630,909.47/275,011.95
  6. Step 6: Final answer
    x = 285,193.53

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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.