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Finding the Fourth Proportional to 491,815.77, 678,717.33 and 274,039.17

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Solution

The fourth proportional to 491,815.77, 678,717.33 and 274,039.17 is: 378,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,815.77 : 678,717.33 = 274,039.17 : x
  2. Step 2: Convert to fraction form
    491,815.77/678,717.33 = 274,039.17/x
  3. Step 3: Cross multiply
    491,815.77x = 678,717.33 × 274,039.17
  4. Step 4: Simplify right side
    491,815.77x = 185,995,130,204.98
  5. Step 5: Solve for x
    x = 185,995,130,204.98/491,815.77
  6. Step 6: Final answer
    x = 378,180.50

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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.