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Finding the Fourth Proportional to 535,269, 738,671.22 and 296,805

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Solution

The fourth proportional to 535,269, 738,671.22 and 296,805 is: 409,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,269 : 738,671.22 = 296,805 : x
  2. Step 2: Convert to fraction form
    535,269/738,671.22 = 296,805/x
  3. Step 3: Cross multiply
    535,269x = 738,671.22 × 296,805
  4. Step 4: Simplify right side
    535,269x = 219,241,311,452.10
  5. Step 5: Solve for x
    x = 219,241,311,452.10/535,269
  6. Step 6: Final answer
    x = 409,590.90

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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.