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Finding the Fourth Proportional to 255,283.74, 382,896.32 and 68,309.82

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Solution

The fourth proportional to 255,283.74, 382,896.32 and 68,309.82 is: 102,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,283.74 : 382,896.32 = 68,309.82 : x
  2. Step 2: Convert to fraction form
    255,283.74/382,896.32 = 68,309.82/x
  3. Step 3: Cross multiply
    255,283.74x = 382,896.32 × 68,309.82
  4. Step 4: Simplify right side
    255,283.74x = 26,155,578,356.31
  5. Step 5: Solve for x
    x = 26,155,578,356.31/255,283.74
  6. Step 6: Final answer
    x = 102,456.89

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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.