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Finding the Fourth Proportional to 512,954.94, 707,914.45 and 283,507.30

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Solution

The fourth proportional to 512,954.94, 707,914.45 and 283,507.30 is: 391,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,954.94 : 707,914.45 = 283,507.30 : x
  2. Step 2: Convert to fraction form
    512,954.94/707,914.45 = 283,507.30/x
  3. Step 3: Cross multiply
    512,954.94x = 707,914.45 × 283,507.30
  4. Step 4: Simplify right side
    512,954.94x = 200,698,910,013.02
  5. Step 5: Solve for x
    x = 200,698,910,013.02/512,954.94
  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.