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Finding the Fourth Proportional to 493,292.50, 680,748.51 and 266,942.86

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Solution

The fourth proportional to 493,292.50, 680,748.51 and 266,942.86 is: 368,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,292.50 : 680,748.51 = 266,942.86 : x
  2. Step 2: Convert to fraction form
    493,292.50/680,748.51 = 266,942.86/x
  3. Step 3: Cross multiply
    493,292.50x = 680,748.51 × 266,942.86
  4. Step 4: Simplify right side
    493,292.50x = 181,720,954,200.14
  5. Step 5: Solve for x
    x = 181,720,954,200.14/493,292.50
  6. Step 6: Final answer
    x = 368,383.78

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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.