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Finding the Fourth Proportional to 493,502.10, 681,037.59 and 289,556.49

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Solution

The fourth proportional to 493,502.10, 681,037.59 and 289,556.49 is: 399,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,502.10 : 681,037.59 = 289,556.49 : x
  2. Step 2: Convert to fraction form
    493,502.10/681,037.59 = 289,556.49/x
  3. Step 3: Cross multiply
    493,502.10x = 681,037.59 × 289,556.49
  4. Step 4: Simplify right side
    493,502.10x = 197,198,854,118.46
  5. Step 5: Solve for x
    x = 197,198,854,118.46/493,502.10
  6. Step 6: Final answer
    x = 399,590.71

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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.