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Finding the Fourth Proportional to 523,511.36, 785,090.43 and 199,222.49

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Solution

The fourth proportional to 523,511.36, 785,090.43 and 199,222.49 is: 298,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,511.36 : 785,090.43 = 199,222.49 : x
  2. Step 2: Convert to fraction form
    523,511.36/785,090.43 = 199,222.49/x
  3. Step 3: Cross multiply
    523,511.36x = 785,090.43 × 199,222.49
  4. Step 4: Simplify right side
    523,511.36x = 156,407,666,414.32
  5. Step 5: Solve for x
    x = 156,407,666,414.32/523,511.36
  6. Step 6: Final answer
    x = 298,766.52

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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.