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Finding the Fourth Proportional to 309,487.12, 427,168.20 and 188,695

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Solution

The fourth proportional to 309,487.12, 427,168.20 and 188,695 is: 260,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,487.12 : 427,168.20 = 188,695 : x
  2. Step 2: Convert to fraction form
    309,487.12/427,168.20 = 188,695/x
  3. Step 3: Cross multiply
    309,487.12x = 427,168.20 × 188,695
  4. Step 4: Simplify right side
    309,487.12x = 80,604,503,499
  5. Step 5: Solve for x
    x = 80,604,503,499/309,487.12
  6. Step 6: Final answer
    x = 260,445.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.