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Finding the Fourth Proportional to 493,235.87, 680,666.49 and 275,443.47

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Solution

The fourth proportional to 493,235.87, 680,666.49 and 275,443.47 is: 380,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,235.87 : 680,666.49 = 275,443.47 : x
  2. Step 2: Convert to fraction form
    493,235.87/680,666.49 = 275,443.47/x
  3. Step 3: Cross multiply
    493,235.87x = 680,666.49 × 275,443.47
  4. Step 4: Simplify right side
    493,235.87x = 187,485,139,918.32
  5. Step 5: Solve for x
    x = 187,485,139,918.32/493,235.87
  6. Step 6: Final answer
    x = 380,112.54

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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.