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Finding the Fourth Proportional to 493,408.14, 680,908.80 and 289,462.54

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Solution

The fourth proportional to 493,408.14, 680,908.80 and 289,462.54 is: 399,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,408.14 : 680,908.80 = 289,462.54 : x
  2. Step 2: Convert to fraction form
    493,408.14/680,908.80 = 289,462.54/x
  3. Step 3: Cross multiply
    493,408.14x = 680,908.80 × 289,462.54
  4. Step 4: Simplify right side
    493,408.14x = 197,097,587,351.81
  5. Step 5: Solve for x
    x = 197,097,587,351.81/493,408.14
  6. Step 6: Final answer
    x = 399,461.57

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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.