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Finding the Fourth Proportional to 656,213, 984,414.54 and 206,781.80

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Solution

The fourth proportional to 656,213, 984,414.54 and 206,781.80 is: 310,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,213 : 984,414.54 = 206,781.80 : x
  2. Step 2: Convert to fraction form
    656,213/984,414.54 = 206,781.80/x
  3. Step 3: Cross multiply
    656,213x = 984,414.54 × 206,781.80
  4. Step 4: Simplify right side
    656,213x = 203,559,010,527.37
  5. Step 5: Solve for x
    x = 203,559,010,527.37/656,213
  6. Step 6: Final answer
    x = 310,202.65

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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.