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Finding the Fourth Proportional to 287,846, 431,771.76 and 110,310.80

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Solution

The fourth proportional to 287,846, 431,771.76 and 110,310.80 is: 165,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,846 : 431,771.76 = 110,310.80 : x
  2. Step 2: Convert to fraction form
    287,846/431,771.76 = 110,310.80/x
  3. Step 3: Cross multiply
    287,846x = 431,771.76 × 110,310.80
  4. Step 4: Simplify right side
    287,846x = 47,629,088,263.01
  5. Step 5: Solve for x
    x = 47,629,088,263.01/287,846
  6. Step 6: Final answer
    x = 165,467.26

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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.