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Finding the Fourth Proportional to 512,734.56, 707,588.28 and 286,394.64

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Solution

The fourth proportional to 512,734.56, 707,588.28 and 286,394.64 is: 395,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,734.56 : 707,588.28 = 286,394.64 : x
  2. Step 2: Convert to fraction form
    512,734.56/707,588.28 = 286,394.64/x
  3. Step 3: Cross multiply
    512,734.56x = 707,588.28 × 286,394.64
  4. Step 4: Simplify right side
    512,734.56x = 202,649,491,771.80
  5. Step 5: Solve for x
    x = 202,649,491,771.80/512,734.56
  6. Step 6: Final answer
    x = 395,232.75

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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.