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Finding the Fourth Proportional to 493,128, 680,517.45 and 266,773.50

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Solution

The fourth proportional to 493,128, 680,517.45 and 266,773.50 is: 368,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,128 : 680,517.45 = 266,773.50 : x
  2. Step 2: Convert to fraction form
    493,128/680,517.45 = 266,773.50/x
  3. Step 3: Cross multiply
    493,128x = 680,517.45 × 266,773.50
  4. Step 4: Simplify right side
    493,128x = 181,544,021,947.58
  5. Step 5: Solve for x
    x = 181,544,021,947.58/493,128
  6. Step 6: Final answer
    x = 368,147.87

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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.