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Finding the Fourth Proportional to 526,789.25, 726,890.95 and 319,950

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Solution

The fourth proportional to 526,789.25, 726,890.95 and 319,950 is: 441,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,789.25 : 726,890.95 = 319,950 : x
  2. Step 2: Convert to fraction form
    526,789.25/726,890.95 = 319,950/x
  3. Step 3: Cross multiply
    526,789.25x = 726,890.95 × 319,950
  4. Step 4: Simplify right side
    526,789.25x = 232,568,758,052.72
  5. Step 5: Solve for x
    x = 232,568,758,052.72/526,789.25
  6. Step 6: Final answer
    x = 441,483.49

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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.