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Finding the Fourth Proportional to 512,610.60, 768,138.30 and 433,295.40

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Solution

The fourth proportional to 512,610.60, 768,138.30 and 433,295.40 is: 649,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,610.60 : 768,138.30 = 433,295.40 : x
  2. Step 2: Convert to fraction form
    512,610.60/768,138.30 = 433,295.40/x
  3. Step 3: Cross multiply
    512,610.60x = 768,138.30 × 433,295.40
  4. Step 4: Simplify right side
    512,610.60x = 332,830,791,953.82
  5. Step 5: Solve for x
    x = 332,830,791,953.82/512,610.60
  6. Step 6: Final answer
    x = 649,285.82

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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.