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Finding the Fourth Proportional to 489,792.38, 734,405.72 and 189,922.64

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Solution

The fourth proportional to 489,792.38, 734,405.72 and 189,922.64 is: 284,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,792.38 : 734,405.72 = 189,922.64 : x
  2. Step 2: Convert to fraction form
    489,792.38/734,405.72 = 189,922.64/x
  3. Step 3: Cross multiply
    489,792.38x = 734,405.72 × 189,922.64
  4. Step 4: Simplify right side
    489,792.38x = 139,480,268,551.86
  5. Step 5: Solve for x
    x = 139,480,268,551.86/489,792.38
  6. Step 6: Final answer
    x = 284,774.28

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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.