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Finding the Fourth Proportional to 517,499.28, 776,003.09 and 180,498.98

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Solution

The fourth proportional to 517,499.28, 776,003.09 and 180,498.98 is: 270,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,499.28 : 776,003.09 = 180,498.98 : x
  2. Step 2: Convert to fraction form
    517,499.28/776,003.09 = 180,498.98/x
  3. Step 3: Cross multiply
    517,499.28x = 776,003.09 × 180,498.98
  4. Step 4: Simplify right side
    517,499.28x = 140,067,767,259.36
  5. Step 5: Solve for x
    x = 140,067,767,259.36/517,499.28
  6. Step 6: Final answer
    x = 270,662.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.