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Finding the Fourth Proportional to 517,226.46, 713,709.83 and 287,729.52

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Solution

The fourth proportional to 517,226.46, 713,709.83 and 287,729.52 is: 397,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,226.46 : 713,709.83 = 287,729.52 : x
  2. Step 2: Convert to fraction form
    517,226.46/713,709.83 = 287,729.52/x
  3. Step 3: Cross multiply
    517,226.46x = 713,709.83 × 287,729.52
  4. Step 4: Simplify right side
    517,226.46x = 205,355,384,848.09
  5. Step 5: Solve for x
    x = 205,355,384,848.09/517,226.46
  6. Step 6: Final answer
    x = 397,031.86

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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.