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Finding the Fourth Proportional to 421,915.13, 632,792.05 and 126,427.13

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Solution

The fourth proportional to 421,915.13, 632,792.05 and 126,427.13 is: 189,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,915.13 : 632,792.05 = 126,427.13 : x
  2. Step 2: Convert to fraction form
    421,915.13/632,792.05 = 126,427.13/x
  3. Step 3: Cross multiply
    421,915.13x = 632,792.05 × 126,427.13
  4. Step 4: Simplify right side
    421,915.13x = 80,002,082,768.32
  5. Step 5: Solve for x
    x = 80,002,082,768.32/421,915.13
  6. Step 6: Final answer
    x = 189,616.53

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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.