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Finding the Fourth Proportional to 512,585.56, 707,365.26 and 283,158.64

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Solution

The fourth proportional to 512,585.56, 707,365.26 and 283,158.64 is: 390,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,585.56 : 707,365.26 = 283,158.64 : x
  2. Step 2: Convert to fraction form
    512,585.56/707,365.26 = 283,158.64/x
  3. Step 3: Cross multiply
    512,585.56x = 707,365.26 × 283,158.64
  4. Step 4: Simplify right side
    512,585.56x = 200,296,585,004.85
  5. Step 5: Solve for x
    x = 200,296,585,004.85/512,585.56
  6. Step 6: Final answer
    x = 390,757.37

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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.