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Finding the Fourth Proportional to 497,136.30, 744,829.65 and 407,906.70

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Solution

The fourth proportional to 497,136.30, 744,829.65 and 407,906.70 is: 611,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,136.30 : 744,829.65 = 407,906.70 : x
  2. Step 2: Convert to fraction form
    497,136.30/744,829.65 = 407,906.70/x
  3. Step 3: Cross multiply
    497,136.30x = 744,829.65 × 407,906.70
  4. Step 4: Simplify right side
    497,136.30x = 303,821,004,593.66
  5. Step 5: Solve for x
    x = 303,821,004,593.66/497,136.30
  6. Step 6: Final answer
    x = 611,142.27

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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.