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Finding the Fourth Proportional to 493,105.50, 680,486.40 and 266,751

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Solution

The fourth proportional to 493,105.50, 680,486.40 and 266,751 is: 368,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,105.50 : 680,486.40 = 266,751 : x
  2. Step 2: Convert to fraction form
    493,105.50/680,486.40 = 266,751/x
  3. Step 3: Cross multiply
    493,105.50x = 680,486.40 × 266,751
  4. Step 4: Simplify right side
    493,105.50x = 181,520,427,686.40
  5. Step 5: Solve for x
    x = 181,520,427,686.40/493,105.50
  6. Step 6: Final answer
    x = 368,116.82

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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.