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Finding the Fourth Proportional to 489,283.65, 675,213.83 and 274,435.20

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Solution

The fourth proportional to 489,283.65, 675,213.83 and 274,435.20 is: 378,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,283.65 : 675,213.83 = 274,435.20 : x
  2. Step 2: Convert to fraction form
    489,283.65/675,213.83 = 274,435.20/x
  3. Step 3: Cross multiply
    489,283.65x = 675,213.83 × 274,435.20
  4. Step 4: Simplify right side
    489,283.65x = 185,302,442,478.82
  5. Step 5: Solve for x
    x = 185,302,442,478.82/489,283.65
  6. Step 6: Final answer
    x = 378,721.92

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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.