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Finding the Fourth Proportional to 421,134.40, 631,767.22 and 252,615.12

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Solution

The fourth proportional to 421,134.40, 631,767.22 and 252,615.12 is: 378,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,134.40 : 631,767.22 = 252,615.12 : x
  2. Step 2: Convert to fraction form
    421,134.40/631,767.22 = 252,615.12/x
  3. Step 3: Cross multiply
    421,134.40x = 631,767.22 × 252,615.12
  4. Step 4: Simplify right side
    421,134.40x = 159,593,949,091.70
  5. Step 5: Solve for x
    x = 159,593,949,091.70/421,134.40
  6. Step 6: Final answer
    x = 378,962.03

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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.