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Finding the Fourth Proportional to 512,954.93, 707,914.46 and 283,507.28

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Solution

The fourth proportional to 512,954.93, 707,914.46 and 283,507.28 is: 391,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,954.93 : 707,914.46 = 283,507.28 : x
  2. Step 2: Convert to fraction form
    512,954.93/707,914.46 = 283,507.28/x
  3. Step 3: Cross multiply
    512,954.93x = 707,914.46 × 283,507.28
  4. Step 4: Simplify right side
    512,954.93x = 200,698,903,027.27
  5. Step 5: Solve for x
    x = 200,698,903,027.27/512,954.93
  6. Step 6: Final answer
    x = 391,260.31

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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.