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Finding the Fourth Proportional to 409,270.60, 613,756.22 and 156,426.06

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Solution

The fourth proportional to 409,270.60, 613,756.22 and 156,426.06 is: 234,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,270.60 : 613,756.22 = 156,426.06 : x
  2. Step 2: Convert to fraction form
    409,270.60/613,756.22 = 156,426.06/x
  3. Step 3: Cross multiply
    409,270.60x = 613,756.22 × 156,426.06
  4. Step 4: Simplify right side
    409,270.60x = 96,007,467,295.09
  5. Step 5: Solve for x
    x = 96,007,467,295.09/409,270.60
  6. Step 6: Final answer
    x = 234,581.88

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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.