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Finding the Fourth Proportional to 489,390.75, 734,353.70 and 189,883.15

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Solution

The fourth proportional to 489,390.75, 734,353.70 and 189,883.15 is: 284,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,390.75 : 734,353.70 = 189,883.15 : x
  2. Step 2: Convert to fraction form
    489,390.75/734,353.70 = 189,883.15/x
  3. Step 3: Cross multiply
    489,390.75x = 734,353.70 × 189,883.15
  4. Step 4: Simplify right side
    489,390.75x = 139,441,393,770.16
  5. Step 5: Solve for x
    x = 139,441,393,770.16/489,390.75
  6. Step 6: Final answer
    x = 284,928.54

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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.