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Finding the Fourth Proportional to 493,404.54, 680,903.94 and 289,458.96

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Solution

The fourth proportional to 493,404.54, 680,903.94 and 289,458.96 is: 399,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,404.54 : 680,903.94 = 289,458.96 : x
  2. Step 2: Convert to fraction form
    493,404.54/680,903.94 = 289,458.96/x
  3. Step 3: Cross multiply
    493,404.54x = 680,903.94 × 289,458.96
  4. Step 4: Simplify right side
    493,404.54x = 197,093,746,332.30
  5. Step 5: Solve for x
    x = 197,093,746,332.30/493,404.54
  6. Step 6: Final answer
    x = 399,456.69

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1.5x scale

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.