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Finding the Fourth Proportional to 264,847, 365,488.86 and 145,615

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Solution

The fourth proportional to 264,847, 365,488.86 and 145,615 is: 200,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,847 : 365,488.86 = 145,615 : x
  2. Step 2: Convert to fraction form
    264,847/365,488.86 = 145,615/x
  3. Step 3: Cross multiply
    264,847x = 365,488.86 × 145,615
  4. Step 4: Simplify right side
    264,847x = 53,220,660,348.90
  5. Step 5: Solve for x
    x = 53,220,660,348.90/264,847
  6. Step 6: Final answer
    x = 200,948.70

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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.