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Finding the Fourth Proportional to 275,274.60, 412,911.90 and 181,780.35

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Solution

The fourth proportional to 275,274.60, 412,911.90 and 181,780.35 is: 272,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,274.60 : 412,911.90 = 181,780.35 : x
  2. Step 2: Convert to fraction form
    275,274.60/412,911.90 = 181,780.35/x
  3. Step 3: Cross multiply
    275,274.60x = 412,911.90 × 181,780.35
  4. Step 4: Simplify right side
    275,274.60x = 75,059,269,701.17
  5. Step 5: Solve for x
    x = 75,059,269,701.17/275,274.60
  6. Step 6: Final answer
    x = 272,670.53

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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.