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Finding the Fourth Proportional to 490,617.57, 735,175.14 and 330,098.88

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Solution

The fourth proportional to 490,617.57, 735,175.14 and 330,098.88 is: 494,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,617.57 : 735,175.14 = 330,098.88 : x
  2. Step 2: Convert to fraction form
    490,617.57/735,175.14 = 330,098.88/x
  3. Step 3: Cross multiply
    490,617.57x = 735,175.14 × 330,098.88
  4. Step 4: Simplify right side
    490,617.57x = 242,680,490,317.84
  5. Step 5: Solve for x
    x = 242,680,490,317.84/490,617.57
  6. Step 6: Final answer
    x = 494,642.89

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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.