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Finding the Fourth Proportional to 617,136.63, 851,608.47 and 345,157.44

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Solution

The fourth proportional to 617,136.63, 851,608.47 and 345,157.44 is: 476,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,136.63 : 851,608.47 = 345,157.44 : x
  2. Step 2: Convert to fraction form
    617,136.63/851,608.47 = 345,157.44/x
  3. Step 3: Cross multiply
    617,136.63x = 851,608.47 × 345,157.44
  4. Step 4: Simplify right side
    617,136.63x = 293,938,999,387.52
  5. Step 5: Solve for x
    x = 293,938,999,387.52/617,136.63
  6. Step 6: Final answer
    x = 476,294.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.