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Finding the Fourth Proportional to 512,953.49, 707,912.46 and 283,505.85

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Solution

The fourth proportional to 512,953.49, 707,912.46 and 283,505.85 is: 391,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,953.49 : 707,912.46 = 283,505.85 : x
  2. Step 2: Convert to fraction form
    512,953.49/707,912.46 = 283,505.85/x
  3. Step 3: Cross multiply
    512,953.49x = 707,912.46 × 283,505.85
  4. Step 4: Simplify right side
    512,953.49x = 200,697,323,697.89
  5. Step 5: Solve for x
    x = 200,697,323,697.89/512,953.49
  6. Step 6: Final answer
    x = 391,258.32

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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.