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Finding the Fourth Proportional to 436,378.78, 654,494.01 and 120,761.92

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Solution

The fourth proportional to 436,378.78, 654,494.01 and 120,761.92 is: 181,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,378.78 : 654,494.01 = 120,761.92 : x
  2. Step 2: Convert to fraction form
    436,378.78/654,494.01 = 120,761.92/x
  3. Step 3: Cross multiply
    436,378.78x = 654,494.01 × 120,761.92
  4. Step 4: Simplify right side
    436,378.78x = 79,037,953,276.10
  5. Step 5: Solve for x
    x = 79,037,953,276.10/436,378.78
  6. Step 6: Final answer
    x = 181,122.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.