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Finding the Fourth Proportional to 489,389.75, 734,352.20 and 189,882.15

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Solution

The fourth proportional to 489,389.75, 734,352.20 and 189,882.15 is: 284,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,389.75 : 734,352.20 = 189,882.15 : x
  2. Step 2: Convert to fraction form
    489,389.75/734,352.20 = 189,882.15/x
  3. Step 3: Cross multiply
    489,389.75x = 734,352.20 × 189,882.15
  4. Step 4: Simplify right side
    489,389.75x = 139,440,375,999.81
  5. Step 5: Solve for x
    x = 139,440,375,999.81/489,389.75
  6. Step 6: Final answer
    x = 284,927.05

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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.