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Finding the Fourth Proportional to 307,392, 424,200.96 and 166,080

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Solution

The fourth proportional to 307,392, 424,200.96 and 166,080 is: 229,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,392 : 424,200.96 = 166,080 : x
  2. Step 2: Convert to fraction form
    307,392/424,200.96 = 166,080/x
  3. Step 3: Cross multiply
    307,392x = 424,200.96 × 166,080
  4. Step 4: Simplify right side
    307,392x = 70,451,295,436.80
  5. Step 5: Solve for x
    x = 70,451,295,436.80/307,392
  6. Step 6: Final answer
    x = 229,190.40

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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.