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Finding the Fourth Proportional to 657,963.73, 907,992.82 and 356,157.73

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Solution

The fourth proportional to 657,963.73, 907,992.82 and 356,157.73 is: 491,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,963.73 : 907,992.82 = 356,157.73 : x
  2. Step 2: Convert to fraction form
    657,963.73/907,992.82 = 356,157.73/x
  3. Step 3: Cross multiply
    657,963.73x = 907,992.82 × 356,157.73
  4. Step 4: Simplify right side
    657,963.73x = 323,388,661,627.50
  5. Step 5: Solve for x
    x = 323,388,661,627.50/657,963.73
  6. Step 6: Final answer
    x = 491,499.22

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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.