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Finding the Fourth Proportional to 493,645.54, 681,303.56 and 289,808.89

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Solution

The fourth proportional to 493,645.54, 681,303.56 and 289,808.89 is: 399,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,645.54 : 681,303.56 = 289,808.89 : x
  2. Step 2: Convert to fraction form
    493,645.54/681,303.56 = 289,808.89/x
  3. Step 3: Cross multiply
    493,645.54x = 681,303.56 × 289,808.89
  4. Step 4: Simplify right side
    493,645.54x = 197,447,825,324.35
  5. Step 5: Solve for x
    x = 197,447,825,324.35/493,645.54
  6. Step 6: Final answer
    x = 399,978.95

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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.