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Finding the Fourth Proportional to 493,429.73, 680,895.02 and 278,591

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Solution

The fourth proportional to 493,429.73, 680,895.02 and 278,591 is: 384,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,429.73 : 680,895.02 = 278,591 : x
  2. Step 2: Convert to fraction form
    493,429.73/680,895.02 = 278,591/x
  3. Step 3: Cross multiply
    493,429.73x = 680,895.02 × 278,591
  4. Step 4: Simplify right side
    493,429.73x = 189,691,224,516.82
  5. Step 5: Solve for x
    x = 189,691,224,516.82/493,429.73
  6. Step 6: Final answer
    x = 384,434.12

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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.