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Finding the Fourth Proportional to 421,512.45, 631,825.80 and 261,588.07

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Solution

The fourth proportional to 421,512.45, 631,825.80 and 261,588.07 is: 392,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,512.45 : 631,825.80 = 261,588.07 : x
  2. Step 2: Convert to fraction form
    421,512.45/631,825.80 = 261,588.07/x
  3. Step 3: Cross multiply
    421,512.45x = 631,825.80 × 261,588.07
  4. Step 4: Simplify right side
    421,512.45x = 165,278,091,598.21
  5. Step 5: Solve for x
    x = 165,278,091,598.21/421,512.45
  6. Step 6: Final answer
    x = 392,107.26

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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.