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Finding the Fourth Proportional to 489,665.72, 675,750.78 and 274,822.16

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Solution

The fourth proportional to 489,665.72, 675,750.78 and 274,822.16 is: 379,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,665.72 : 675,750.78 = 274,822.16 : x
  2. Step 2: Convert to fraction form
    489,665.72/675,750.78 = 274,822.16/x
  3. Step 3: Cross multiply
    489,665.72x = 675,750.78 × 274,822.16
  4. Step 4: Simplify right side
    489,665.72x = 185,711,288,981.29
  5. Step 5: Solve for x
    x = 185,711,288,981.29/489,665.72
  6. Step 6: Final answer
    x = 379,261.36

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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.