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Finding the Fourth Proportional to 421,135.87, 631,634.60 and 151,208.13

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Solution

The fourth proportional to 421,135.87, 631,634.60 and 151,208.13 is: 226,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,135.87 : 631,634.60 = 151,208.13 : x
  2. Step 2: Convert to fraction form
    421,135.87/631,634.60 = 151,208.13/x
  3. Step 3: Cross multiply
    421,135.87x = 631,634.60 × 151,208.13
  4. Step 4: Simplify right side
    421,135.87x = 95,508,286,709.30
  5. Step 5: Solve for x
    x = 95,508,286,709.30/421,135.87
  6. Step 6: Final answer
    x = 226,787.35

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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.