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Finding the Fourth Proportional to 453,668.10, 680,044.69 and 285,308.72

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Solution

The fourth proportional to 453,668.10, 680,044.69 and 285,308.72 is: 427,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,668.10 : 680,044.69 = 285,308.72 : x
  2. Step 2: Convert to fraction form
    453,668.10/680,044.69 = 285,308.72/x
  3. Step 3: Cross multiply
    453,668.10x = 680,044.69 × 285,308.72
  4. Step 4: Simplify right side
    453,668.10x = 194,022,680,046.70
  5. Step 5: Solve for x
    x = 194,022,680,046.70/453,668.10
  6. Step 6: Final answer
    x = 427,675.39

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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.