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Finding the Fourth Proportional to 408,958.19, 613,562.48 and 209,419.85

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Solution

The fourth proportional to 408,958.19, 613,562.48 and 209,419.85 is: 314,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,958.19 : 613,562.48 = 209,419.85 : x
  2. Step 2: Convert to fraction form
    408,958.19/613,562.48 = 209,419.85/x
  3. Step 3: Cross multiply
    408,958.19x = 613,562.48 × 209,419.85
  4. Step 4: Simplify right side
    408,958.19x = 128,492,162,527.23
  5. Step 5: Solve for x
    x = 128,492,162,527.23/408,958.19
  6. Step 6: Final answer
    x = 314,193.89

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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.