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Finding the Fourth Proportional to 494,061.35, 741,135.90 and 205,809.35

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Solution

The fourth proportional to 494,061.35, 741,135.90 and 205,809.35 is: 308,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,061.35 : 741,135.90 = 205,809.35 : x
  2. Step 2: Convert to fraction form
    494,061.35/741,135.90 = 205,809.35/x
  3. Step 3: Cross multiply
    494,061.35x = 741,135.90 × 205,809.35
  4. Step 4: Simplify right side
    494,061.35x = 152,532,697,840.67
  5. Step 5: Solve for x
    x = 152,532,697,840.67/494,061.35
  6. Step 6: Final answer
    x = 308,732.30

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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.