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Finding the Fourth Proportional to 436,321.96, 654,483.84 and 120,779.80

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Solution

The fourth proportional to 436,321.96, 654,483.84 and 120,779.80 is: 181,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,321.96 : 654,483.84 = 120,779.80 : x
  2. Step 2: Convert to fraction form
    436,321.96/654,483.84 = 120,779.80/x
  3. Step 3: Cross multiply
    436,321.96x = 654,483.84 × 120,779.80
  4. Step 4: Simplify right side
    436,321.96x = 79,048,427,298.43
  5. Step 5: Solve for x
    x = 79,048,427,298.43/436,321.96
  6. Step 6: Final answer
    x = 181,169.95

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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.