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Finding the Fourth Proportional to 289,611.56, 434,261.82 and 131,875.40

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Solution

The fourth proportional to 289,611.56, 434,261.82 and 131,875.40 is: 197,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,611.56 : 434,261.82 = 131,875.40 : x
  2. Step 2: Convert to fraction form
    289,611.56/434,261.82 = 131,875.40/x
  3. Step 3: Cross multiply
    289,611.56x = 434,261.82 × 131,875.40
  4. Step 4: Simplify right side
    289,611.56x = 57,268,451,217.23
  5. Step 5: Solve for x
    x = 57,268,451,217.23/289,611.56
  6. Step 6: Final answer
    x = 197,742.28

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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.