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Finding the Fourth Proportional to 274,881.40, 412,775.57 and 185,498.38

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Solution

The fourth proportional to 274,881.40, 412,775.57 and 185,498.38 is: 278,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,881.40 : 412,775.57 = 185,498.38 : x
  2. Step 2: Convert to fraction form
    274,881.40/412,775.57 = 185,498.38/x
  3. Step 3: Cross multiply
    274,881.40x = 412,775.57 × 185,498.38
  4. Step 4: Simplify right side
    274,881.40x = 76,569,199,538.58
  5. Step 5: Solve for x
    x = 76,569,199,538.58/274,881.40
  6. Step 6: Final answer
    x = 278,553.59

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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.