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Finding the Fourth Proportional to 538,472.80, 743,147.76 and 323,682.40

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Solution

The fourth proportional to 538,472.80, 743,147.76 and 323,682.40 is: 446,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,472.80 : 743,147.76 = 323,682.40 : x
  2. Step 2: Convert to fraction form
    538,472.80/743,147.76 = 323,682.40/x
  3. Step 3: Cross multiply
    538,472.80x = 743,147.76 × 323,682.40
  4. Step 4: Simplify right side
    538,472.80x = 240,543,850,511.42
  5. Step 5: Solve for x
    x = 240,543,850,511.42/538,472.80
  6. Step 6: Final answer
    x = 446,714.95

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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.