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Finding the Fourth Proportional to 512,964.50, 707,869.02 and 283,509.94

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Solution

The fourth proportional to 512,964.50, 707,869.02 and 283,509.94 is: 391,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,964.50 : 707,869.02 = 283,509.94 : x
  2. Step 2: Convert to fraction form
    512,964.50/707,869.02 = 283,509.94/x
  3. Step 3: Cross multiply
    512,964.50x = 707,869.02 × 283,509.94
  4. Step 4: Simplify right side
    512,964.50x = 200,687,903,388.06
  5. Step 5: Solve for x
    x = 200,687,903,388.06/512,964.50
  6. Step 6: Final answer
    x = 391,231.56

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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.