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Finding the Fourth Proportional to 421,915.64, 632,792.79 and 126,427.64

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Solution

The fourth proportional to 421,915.64, 632,792.79 and 126,427.64 is: 189,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,915.64 : 632,792.79 = 126,427.64 : x
  2. Step 2: Convert to fraction form
    421,915.64/632,792.79 = 126,427.64/x
  3. Step 3: Cross multiply
    421,915.64x = 632,792.79 × 126,427.64
  4. Step 4: Simplify right side
    421,915.64x = 80,002,495,884.75
  5. Step 5: Solve for x
    x = 80,002,495,884.75/421,915.64
  6. Step 6: Final answer
    x = 189,617.28

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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.