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Finding the Fourth Proportional to 492,786.70, 680,045.07 and 266,431.66

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Solution

The fourth proportional to 492,786.70, 680,045.07 and 266,431.66 is: 367,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,786.70 : 680,045.07 = 266,431.66 : x
  2. Step 2: Convert to fraction form
    492,786.70/680,045.07 = 266,431.66/x
  3. Step 3: Cross multiply
    492,786.70x = 680,045.07 × 266,431.66
  4. Step 4: Simplify right side
    492,786.70x = 181,185,536,874.92
  5. Step 5: Solve for x
    x = 181,185,536,874.92/492,786.70
  6. Step 6: Final answer
    x = 367,675.38

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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.