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Finding the Fourth Proportional to 493,310.70, 680,768.74 and 266,956.20

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Solution

The fourth proportional to 493,310.70, 680,768.74 and 266,956.20 is: 368,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,310.70 : 680,768.74 = 266,956.20 : x
  2. Step 2: Convert to fraction form
    493,310.70/680,768.74 = 266,956.20/x
  3. Step 3: Cross multiply
    493,310.70x = 680,768.74 × 266,956.20
  4. Step 4: Simplify right side
    493,310.70x = 181,735,435,909.19
  5. Step 5: Solve for x
    x = 181,735,435,909.19/493,310.70
  6. Step 6: Final answer
    x = 368,399.54

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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.