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Finding the Fourth Proportional to 274,878.90, 412,771.82 and 185,495.87

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Solution

The fourth proportional to 274,878.90, 412,771.82 and 185,495.87 is: 278,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,878.90 : 412,771.82 = 185,495.87 : x
  2. Step 2: Convert to fraction form
    274,878.90/412,771.82 = 185,495.87/x
  3. Step 3: Cross multiply
    274,878.90x = 412,771.82 × 185,495.87
  4. Step 4: Simplify right side
    274,878.90x = 76,567,468,358.11
  5. Step 5: Solve for x
    x = 76,567,468,358.11/274,878.90
  6. Step 6: Final answer
    x = 278,549.82

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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.