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Finding the Fourth Proportional to 493,604.70, 689,646.90 and 493,604.70

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Solution

The fourth proportional to 493,604.70, 689,646.90 and 493,604.70 is: 689,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,604.70 : 689,646.90 = 493,604.70 : x
  2. Step 2: Convert to fraction form
    493,604.70/689,646.90 = 493,604.70/x
  3. Step 3: Cross multiply
    493,604.70x = 689,646.90 × 493,604.70
  4. Step 4: Simplify right side
    493,604.70x = 340,412,951,180.43
  5. Step 5: Solve for x
    x = 340,412,951,180.43/493,604.70
  6. Step 6: Final answer
    x = 689,646.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.