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Finding the Fourth Proportional to 512,295.52, 707,422.83 and 319,035.09

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Solution

The fourth proportional to 512,295.52, 707,422.83 and 319,035.09 is: 440,551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,295.52 : 707,422.83 = 319,035.09 : x
  2. Step 2: Convert to fraction form
    512,295.52/707,422.83 = 319,035.09/x
  3. Step 3: Cross multiply
    512,295.52x = 707,422.83 × 319,035.09
  4. Step 4: Simplify right side
    512,295.52x = 225,692,706,237.11
  5. Step 5: Solve for x
    x = 225,692,706,237.11/512,295.52
  6. Step 6: Final answer
    x = 440,551.79

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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.