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Finding the Fourth Proportional to 492,866.84, 680,262.36 and 311,463.56

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Solution

The fourth proportional to 492,866.84, 680,262.36 and 311,463.56 is: 429,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,866.84 : 680,262.36 = 311,463.56 : x
  2. Step 2: Convert to fraction form
    492,866.84/680,262.36 = 311,463.56/x
  3. Step 3: Cross multiply
    492,866.84x = 680,262.36 × 311,463.56
  4. Step 4: Simplify right side
    492,866.84x = 211,876,936,379.60
  5. Step 5: Solve for x
    x = 211,876,936,379.60/492,866.84
  6. Step 6: Final answer
    x = 429,886.78

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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.