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Finding the Fourth Proportional to 497,630.70, 746,446.05 and 408,984.30

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Solution

The fourth proportional to 497,630.70, 746,446.05 and 408,984.30 is: 613,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,630.70 : 746,446.05 = 408,984.30 : x
  2. Step 2: Convert to fraction form
    497,630.70/746,446.05 = 408,984.30/x
  3. Step 3: Cross multiply
    497,630.70x = 746,446.05 × 408,984.30
  4. Step 4: Simplify right side
    497,630.70x = 305,284,715,247.02
  5. Step 5: Solve for x
    x = 305,284,715,247.02/497,630.70
  6. Step 6: Final answer
    x = 613,476.45

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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.