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Finding the Fourth Proportional to 289,728.54, 434,676.64 and 121,161.86

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Solution

The fourth proportional to 289,728.54, 434,676.64 and 121,161.86 is: 181,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,728.54 : 434,676.64 = 121,161.86 : x
  2. Step 2: Convert to fraction form
    289,728.54/434,676.64 = 121,161.86/x
  3. Step 3: Cross multiply
    289,728.54x = 434,676.64 × 121,161.86
  4. Step 4: Simplify right side
    289,728.54x = 52,666,230,200.95
  5. Step 5: Solve for x
    x = 52,666,230,200.95/289,728.54
  6. Step 6: Final answer
    x = 181,777.85

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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.