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Finding the Fourth Proportional to 665,635.20, 997,906.05 and 286,846.80

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Solution

The fourth proportional to 665,635.20, 997,906.05 and 286,846.80 is: 430,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,635.20 : 997,906.05 = 286,846.80 : x
  2. Step 2: Convert to fraction form
    665,635.20/997,906.05 = 286,846.80/x
  3. Step 3: Cross multiply
    665,635.20x = 997,906.05 × 286,846.80
  4. Step 4: Simplify right side
    665,635.20x = 286,246,157,143.14
  5. Step 5: Solve for x
    x = 286,246,157,143.14/665,635.20
  6. Step 6: Final answer
    x = 430,034.59

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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.