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Finding the Fourth Proportional to 535,405.02, 738,735.03 and 320,463.42

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Solution

The fourth proportional to 535,405.02, 738,735.03 and 320,463.42 is: 442,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,405.02 : 738,735.03 = 320,463.42 : x
  2. Step 2: Convert to fraction form
    535,405.02/738,735.03 = 320,463.42/x
  3. Step 3: Cross multiply
    535,405.02x = 738,735.03 × 320,463.42
  4. Step 4: Simplify right side
    535,405.02x = 236,737,554,187.60
  5. Step 5: Solve for x
    x = 236,737,554,187.60/535,405.02
  6. Step 6: Final answer
    x = 442,165.36

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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.