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Finding the Fourth Proportional to 503,735.09, 695,616.22 and 320,033.01

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Solution

The fourth proportional to 503,735.09, 695,616.22 and 320,033.01 is: 441,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,735.09 : 695,616.22 = 320,033.01 : x
  2. Step 2: Convert to fraction form
    503,735.09/695,616.22 = 320,033.01/x
  3. Step 3: Cross multiply
    503,735.09x = 695,616.22 × 320,033.01
  4. Step 4: Simplify right side
    503,735.09x = 222,620,152,691.42
  5. Step 5: Solve for x
    x = 222,620,152,691.42/503,735.09
  6. Step 6: Final answer
    x = 441,938.94

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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.