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Finding the Fourth Proportional to 431,486.60, 647,114.70 and 131,966.60

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Solution

The fourth proportional to 431,486.60, 647,114.70 and 131,966.60 is: 197,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,486.60 : 647,114.70 = 131,966.60 : x
  2. Step 2: Convert to fraction form
    431,486.60/647,114.70 = 131,966.60/x
  3. Step 3: Cross multiply
    431,486.60x = 647,114.70 × 131,966.60
  4. Step 4: Simplify right side
    431,486.60x = 85,397,526,769.02
  5. Step 5: Solve for x
    x = 85,397,526,769.02/431,486.60
  6. Step 6: Final answer
    x = 197,914.67

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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.