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Finding the Fourth Proportional to 436,308.96, 654,477.75 and 120,739.44

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Solution

The fourth proportional to 436,308.96, 654,477.75 and 120,739.44 is: 181,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,308.96 : 654,477.75 = 120,739.44 : x
  2. Step 2: Convert to fraction form
    436,308.96/654,477.75 = 120,739.44/x
  3. Step 3: Cross multiply
    436,308.96x = 654,477.75 × 120,739.44
  4. Step 4: Simplify right side
    436,308.96x = 79,021,277,027.46
  5. Step 5: Solve for x
    x = 79,021,277,027.46/436,308.96
  6. Step 6: Final answer
    x = 181,113.12

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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.