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Finding the Fourth Proportional to 489,408.53, 734,380.27 and 189,900.86

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Solution

The fourth proportional to 489,408.53, 734,380.27 and 189,900.86 is: 284,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,408.53 : 734,380.27 = 189,900.86 : x
  2. Step 2: Convert to fraction form
    489,408.53/734,380.27 = 189,900.86/x
  3. Step 3: Cross multiply
    489,408.53x = 734,380.27 × 189,900.86
  4. Step 4: Simplify right side
    489,408.53x = 139,459,440,693.38
  5. Step 5: Solve for x
    x = 139,459,440,693.38/489,408.53
  6. Step 6: Final answer
    x = 284,955.07

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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.