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Finding the Fourth Proportional to 421,135.79, 631,634.49 and 151,208.05

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Solution

The fourth proportional to 421,135.79, 631,634.49 and 151,208.05 is: 226,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,135.79 : 631,634.49 = 151,208.05 : x
  2. Step 2: Convert to fraction form
    421,135.79/631,634.49 = 151,208.05/x
  3. Step 3: Cross multiply
    421,135.79x = 631,634.49 × 151,208.05
  4. Step 4: Simplify right side
    421,135.79x = 95,508,222,453.49
  5. Step 5: Solve for x
    x = 95,508,222,453.49/421,135.79
  6. Step 6: Final answer
    x = 226,787.23

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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.