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Finding the Fourth Proportional to 408,969.63, 613,359.06 and 156,157.29

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Solution

The fourth proportional to 408,969.63, 613,359.06 and 156,157.29 is: 234,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,969.63 : 613,359.06 = 156,157.29 : x
  2. Step 2: Convert to fraction form
    408,969.63/613,359.06 = 156,157.29/x
  3. Step 3: Cross multiply
    408,969.63x = 613,359.06 × 156,157.29
  4. Step 4: Simplify right side
    408,969.63x = 95,780,488,606.55
  5. Step 5: Solve for x
    x = 95,780,488,606.55/408,969.63
  6. Step 6: Final answer
    x = 234,199.51

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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.