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Finding the Fourth Proportional to 493,300.54, 680,537.64 and 289,247.86

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Solution

The fourth proportional to 493,300.54, 680,537.64 and 289,247.86 is: 399,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,300.54 : 680,537.64 = 289,247.86 : x
  2. Step 2: Convert to fraction form
    493,300.54/680,537.64 = 289,247.86/x
  3. Step 3: Cross multiply
    493,300.54x = 680,537.64 × 289,247.86
  4. Step 4: Simplify right side
    493,300.54x = 196,844,056,019.45
  5. Step 5: Solve for x
    x = 196,844,056,019.45/493,300.54
  6. Step 6: Final answer
    x = 399,034.75

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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.