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Finding the Fourth Proportional to 512,362.20, 768,543.30 and 299,785.80

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Solution

The fourth proportional to 512,362.20, 768,543.30 and 299,785.80 is: 449,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,362.20 : 768,543.30 = 299,785.80 : x
  2. Step 2: Convert to fraction form
    512,362.20/768,543.30 = 299,785.80/x
  3. Step 3: Cross multiply
    512,362.20x = 768,543.30 × 299,785.80
  4. Step 4: Simplify right side
    512,362.20x = 230,398,368,025.14
  5. Step 5: Solve for x
    x = 230,398,368,025.14/512,362.20
  6. Step 6: Final answer
    x = 449,678.70

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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.