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Finding the Fourth Proportional to 493,158, 680,562.96 and 266,808.36

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Solution

The fourth proportional to 493,158, 680,562.96 and 266,808.36 is: 368,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,158 : 680,562.96 = 266,808.36 : x
  2. Step 2: Convert to fraction form
    493,158/680,562.96 = 266,808.36/x
  3. Step 3: Cross multiply
    493,158x = 680,562.96 × 266,808.36
  4. Step 4: Simplify right side
    493,158x = 181,579,887,234.35
  5. Step 5: Solve for x
    x = 181,579,887,234.35/493,158
  6. Step 6: Final answer
    x = 368,198.20

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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.