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Finding the Fourth Proportional to 287,771.80, 431,657.70 and 271,442.20

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Solution

The fourth proportional to 287,771.80, 431,657.70 and 271,442.20 is: 407,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,771.80 : 431,657.70 = 271,442.20 : x
  2. Step 2: Convert to fraction form
    287,771.80/431,657.70 = 271,442.20/x
  3. Step 3: Cross multiply
    287,771.80x = 431,657.70 × 271,442.20
  4. Step 4: Simplify right side
    287,771.80x = 117,170,115,734.94
  5. Step 5: Solve for x
    x = 117,170,115,734.94/287,771.80
  6. Step 6: Final answer
    x = 407,163.30

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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.