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Finding the Fourth Proportional to 491,568.36, 678,356.82 and 276,707.76

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Solution

The fourth proportional to 491,568.36, 678,356.82 and 276,707.76 is: 381,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,568.36 : 678,356.82 = 276,707.76 : x
  2. Step 2: Convert to fraction form
    491,568.36/678,356.82 = 276,707.76/x
  3. Step 3: Cross multiply
    491,568.36x = 678,356.82 × 276,707.76
  4. Step 4: Simplify right side
    491,568.36x = 187,706,596,142.92
  5. Step 5: Solve for x
    x = 187,706,596,142.92/491,568.36
  6. Step 6: Final answer
    x = 381,852.48

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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.