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Finding the Fourth Proportional to 305,351.48, 457,805.82 and 205,263.44

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Solution

The fourth proportional to 305,351.48, 457,805.82 and 205,263.44 is: 307,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,351.48 : 457,805.82 = 205,263.44 : x
  2. Step 2: Convert to fraction form
    305,351.48/457,805.82 = 205,263.44/x
  3. Step 3: Cross multiply
    305,351.48x = 457,805.82 × 205,263.44
  4. Step 4: Simplify right side
    305,351.48x = 93,970,797,465.22
  5. Step 5: Solve for x
    x = 93,970,797,465.22/305,351.48
  6. Step 6: Final answer
    x = 307,746.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.