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Finding the Fourth Proportional to 491,296.20, 678,002.00 and 276,443.88

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Solution

The fourth proportional to 491,296.20, 678,002.00 and 276,443.88 is: 381,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,296.20 : 678,002.00 = 276,443.88 : x
  2. Step 2: Convert to fraction form
    491,296.20/678,002.00 = 276,443.88/x
  3. Step 3: Cross multiply
    491,296.20x = 678,002.00 × 276,443.88
  4. Step 4: Simplify right side
    491,296.20x = 187,429,502,145.54
  5. Step 5: Solve for x
    x = 187,429,502,145.54/491,296.20
  6. Step 6: Final answer
    x = 381,500.00

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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.