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Finding the Fourth Proportional to 409,047.28, 613,527.99 and 109,558.78

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Solution

The fourth proportional to 409,047.28, 613,527.99 and 109,558.78 is: 164,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,047.28 : 613,527.99 = 109,558.78 : x
  2. Step 2: Convert to fraction form
    409,047.28/613,527.99 = 109,558.78/x
  3. Step 3: Cross multiply
    409,047.28x = 613,527.99 × 109,558.78
  4. Step 4: Simplify right side
    409,047.28x = 67,217,378,080.25
  5. Step 5: Solve for x
    x = 67,217,378,080.25/409,047.28
  6. Step 6: Final answer
    x = 164,326.67

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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.