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Finding the Fourth Proportional to 408,256.71, 611,074.85 and 218,242.05

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Solution

The fourth proportional to 408,256.71, 611,074.85 and 218,242.05 is: 326,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,256.71 : 611,074.85 = 218,242.05 : x
  2. Step 2: Convert to fraction form
    408,256.71/611,074.85 = 218,242.05/x
  3. Step 3: Cross multiply
    408,256.71x = 611,074.85 × 218,242.05
  4. Step 4: Simplify right side
    408,256.71x = 133,362,226,876.23
  5. Step 5: Solve for x
    x = 133,362,226,876.23/408,256.71
  6. Step 6: Final answer
    x = 326,662.67

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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.