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Finding the Fourth Proportional to 491,510.64, 678,283.02 and 276,650.58

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Solution

The fourth proportional to 491,510.64, 678,283.02 and 276,650.58 is: 381,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,510.64 : 678,283.02 = 276,650.58 : x
  2. Step 2: Convert to fraction form
    491,510.64/678,283.02 = 276,650.58/x
  3. Step 3: Cross multiply
    491,510.64x = 678,283.02 × 276,650.58
  4. Step 4: Simplify right side
    491,510.64x = 187,647,390,887.15
  5. Step 5: Solve for x
    x = 187,647,390,887.15/491,510.64
  6. Step 6: Final answer
    x = 381,776.86

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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.