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Finding the Fourth Proportional to 535,035.65, 738,325.96 and 320,294.12

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Solution

The fourth proportional to 535,035.65, 738,325.96 and 320,294.12 is: 441,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,035.65 : 738,325.96 = 320,294.12 : x
  2. Step 2: Convert to fraction form
    535,035.65/738,325.96 = 320,294.12/x
  3. Step 3: Cross multiply
    535,035.65x = 738,325.96 × 320,294.12
  4. Step 4: Simplify right side
    535,035.65x = 236,481,466,269.44
  5. Step 5: Solve for x
    x = 236,481,466,269.44/535,035.65
  6. Step 6: Final answer
    x = 441,991.98

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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.