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Finding the Fourth Proportional to 489,720.10, 734,578.98 and 276,391.30

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Solution

The fourth proportional to 489,720.10, 734,578.98 and 276,391.30 is: 414,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,720.10 : 734,578.98 = 276,391.30 : x
  2. Step 2: Convert to fraction form
    489,720.10/734,578.98 = 276,391.30/x
  3. Step 3: Cross multiply
    489,720.10x = 734,578.98 × 276,391.30
  4. Step 4: Simplify right side
    489,720.10x = 203,031,239,234.87
  5. Step 5: Solve for x
    x = 203,031,239,234.87/489,720.10
  6. Step 6: Final answer
    x = 414,586.29

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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.