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Finding the Fourth Proportional to 493,424.63, 680,926.16 and 278,578.54

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Solution

The fourth proportional to 493,424.63, 680,926.16 and 278,578.54 is: 384,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,424.63 : 680,926.16 = 278,578.54 : x
  2. Step 2: Convert to fraction form
    493,424.63/680,926.16 = 278,578.54/x
  3. Step 3: Cross multiply
    493,424.63x = 680,926.16 × 278,578.54
  4. Step 4: Simplify right side
    493,424.63x = 189,691,415,500.61
  5. Step 5: Solve for x
    x = 189,691,415,500.61/493,424.63
  6. Step 6: Final answer
    x = 384,438.48

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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.