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Finding the Fourth Proportional to 489,040.50, 674,877.72 and 285,232.14

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Solution

The fourth proportional to 489,040.50, 674,877.72 and 285,232.14 is: 393,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,040.50 : 674,877.72 = 285,232.14 : x
  2. Step 2: Convert to fraction form
    489,040.50/674,877.72 = 285,232.14/x
  3. Step 3: Cross multiply
    489,040.50x = 674,877.72 × 285,232.14
  4. Step 4: Simplify right side
    489,040.50x = 192,496,816,313.92
  5. Step 5: Solve for x
    x = 192,496,816,313.92/489,040.50
  6. Step 6: Final answer
    x = 393,621.42

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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.