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Finding the Fourth Proportional to 436,261.94, 654,392.91 and 120,718.84

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Solution

The fourth proportional to 436,261.94, 654,392.91 and 120,718.84 is: 181,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,261.94 : 654,392.91 = 120,718.84 : x
  2. Step 2: Convert to fraction form
    436,261.94/654,392.91 = 120,718.84/x
  3. Step 3: Cross multiply
    436,261.94x = 654,392.91 × 120,718.84
  4. Step 4: Simplify right side
    436,261.94x = 78,997,552,999.42
  5. Step 5: Solve for x
    x = 78,997,552,999.42/436,261.94
  6. Step 6: Final answer
    x = 181,078.26

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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.