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Finding the Fourth Proportional to 512,583.56, 707,362.50 and 283,156.64

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Solution

The fourth proportional to 512,583.56, 707,362.50 and 283,156.64 is: 390,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,583.56 : 707,362.50 = 283,156.64 : x
  2. Step 2: Convert to fraction form
    512,583.56/707,362.50 = 283,156.64/x
  3. Step 3: Cross multiply
    512,583.56x = 707,362.50 × 283,156.64
  4. Step 4: Simplify right side
    512,583.56x = 200,294,388,762
  5. Step 5: Solve for x
    x = 200,294,388,762/512,583.56
  6. Step 6: Final answer
    x = 390,754.61

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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.