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Finding the Fourth Proportional to 433,639.58, 650,181.87 and 208,551.71

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Solution

The fourth proportional to 433,639.58, 650,181.87 and 208,551.71 is: 312,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,639.58 : 650,181.87 = 208,551.71 : x
  2. Step 2: Convert to fraction form
    433,639.58/650,181.87 = 208,551.71/x
  3. Step 3: Cross multiply
    433,639.58x = 650,181.87 × 208,551.71
  4. Step 4: Simplify right side
    433,639.58x = 135,596,542,424.95
  5. Step 5: Solve for x
    x = 135,596,542,424.95/433,639.58
  6. Step 6: Final answer
    x = 312,694.11

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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.