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Finding the Fourth Proportional to 290,644.24, 436,049.72 and 122,077.86

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Solution

The fourth proportional to 290,644.24, 436,049.72 and 122,077.86 is: 183,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,644.24 : 436,049.72 = 122,077.86 : x
  2. Step 2: Convert to fraction form
    290,644.24/436,049.72 = 122,077.86/x
  3. Step 3: Cross multiply
    290,644.24x = 436,049.72 × 122,077.86
  4. Step 4: Simplify right side
    290,644.24x = 53,232,016,671.20
  5. Step 5: Solve for x
    x = 53,232,016,671.20/290,644.24
  6. Step 6: Final answer
    x = 183,151.80

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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.