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Finding the Fourth Proportional to 433,246.56, 649,881 and 205,488.96

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Solution

The fourth proportional to 433,246.56, 649,881 and 205,488.96 is: 308,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,246.56 : 649,881 = 205,488.96 : x
  2. Step 2: Convert to fraction form
    433,246.56/649,881 = 205,488.96/x
  3. Step 3: Cross multiply
    433,246.56x = 649,881 × 205,488.96
  4. Step 4: Simplify right side
    433,246.56x = 133,543,370,813.76
  5. Step 5: Solve for x
    x = 133,543,370,813.76/433,246.56
  6. Step 6: Final answer
    x = 308,238.73

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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.