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Finding the Fourth Proportional to 523,753.47, 785,974.73 and 287,262.23

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Solution

The fourth proportional to 523,753.47, 785,974.73 and 287,262.23 is: 431,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,753.47 : 785,974.73 = 287,262.23 : x
  2. Step 2: Convert to fraction form
    523,753.47/785,974.73 = 287,262.23/x
  3. Step 3: Cross multiply
    523,753.47x = 785,974.73 × 287,262.23
  4. Step 4: Simplify right side
    523,753.47x = 225,780,848,297.26
  5. Step 5: Solve for x
    x = 225,780,848,297.26/523,753.47
  6. Step 6: Final answer
    x = 431,082.30

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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.