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Finding the Fourth Proportional to 274,481,214.78, 378,790,658.03 and 149,038,697.88

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Solution

The fourth proportional to 274,481,214.78, 378,790,658.03 and 149,038,697.88 is: 205,676,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,481,214.78 : 378,790,658.03 = 149,038,697.88 : x
  2. Step 2: Convert to fraction form
    274,481,214.78/378,790,658.03 = 149,038,697.88/x
  3. Step 3: Cross multiply
    274,481,214.78x = 378,790,658.03 × 149,038,697.88
  4. Step 4: Simplify right side
    274,481,214.78x = 56,454,466,441,154,368
  5. Step 5: Solve for x
    x = 56,454,466,441,154,368/274,481,214.78
  6. Step 6: Final answer
    x = 205,676,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.