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Finding the Fourth Proportional to 491,738.10, 737,672.85 and 171,852.90

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Solution

The fourth proportional to 491,738.10, 737,672.85 and 171,852.90 is: 257,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,738.10 : 737,672.85 = 171,852.90 : x
  2. Step 2: Convert to fraction form
    491,738.10/737,672.85 = 171,852.90/x
  3. Step 3: Cross multiply
    491,738.10x = 737,672.85 × 171,852.90
  4. Step 4: Simplify right side
    491,738.10x = 126,771,218,523.77
  5. Step 5: Solve for x
    x = 126,771,218,523.77/491,738.10
  6. Step 6: Final answer
    x = 257,802.31

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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.